What is the Least Common Multiple of 27417 and 27429?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27417 and 27429 is 250673631.
LCM(27417,27429) = 250673631
Least Common Multiple of 27417 and 27429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27417 and 27429, than apply into the LCM equation.
GCF(27417,27429) = 3
LCM(27417,27429) = ( 27417 × 27429) / 3
LCM(27417,27429) = 752020893 / 3
LCM(27417,27429) = 250673631
Least Common Multiple (LCM) of 27417 and 27429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27417 and 27429. First we will calculate the prime factors of 27417 and 27429.
Prime Factorization of 27417
Prime factors of 27417 are 3, 13, 19, 37. Prime factorization of 27417 in exponential form is:
27417 = 31 × 131 × 191 × 371
Prime Factorization of 27429
Prime factors of 27429 are 3, 41, 223. Prime factorization of 27429 in exponential form is:
27429 = 31 × 411 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 27417 and 27429.
LCM(27417,27429) = 31 × 131 × 191 × 371 × 411 × 2231
LCM(27417,27429) = 250673631
Related Least Common Multiples of 27417
- LCM of 27417 and 27421
- LCM of 27417 and 27422
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- LCM of 27417 and 27424
- LCM of 27417 and 27425
- LCM of 27417 and 27426
- LCM of 27417 and 27427
- LCM of 27417 and 27428
- LCM of 27417 and 27429
- LCM of 27417 and 27430
- LCM of 27417 and 27431
- LCM of 27417 and 27432
- LCM of 27417 and 27433
- LCM of 27417 and 27434
- LCM of 27417 and 27435
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Related Least Common Multiples of 27429
- LCM of 27429 and 27433
- LCM of 27429 and 27434
- LCM of 27429 and 27435
- LCM of 27429 and 27436
- LCM of 27429 and 27437
- LCM of 27429 and 27438
- LCM of 27429 and 27439
- LCM of 27429 and 27440
- LCM of 27429 and 27441
- LCM of 27429 and 27442
- LCM of 27429 and 27443
- LCM of 27429 and 27444
- LCM of 27429 and 27445
- LCM of 27429 and 27446
- LCM of 27429 and 27447
- LCM of 27429 and 27448
- LCM of 27429 and 27449