What is the Least Common Multiple of 27417 and 27433?
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 27433 is 752130561.
LCM(27417,27433) = 752130561
Least Common Multiple of 27417 and 27433 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 27433, than apply into the LCM equation.
GCF(27417,27433) = 1
LCM(27417,27433) = ( 27417 × 27433) / 1
LCM(27417,27433) = 752130561 / 1
LCM(27417,27433) = 752130561
Least Common Multiple (LCM) of 27417 and 27433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27417 and 27433. First we will calculate the prime factors of 27417 and 27433.
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 27433
Prime factors of 27433 are 7, 3919. Prime factorization of 27433 in exponential form is:
27433 = 71 × 39191
Now multiplying the highest exponent prime factors to calculate the LCM of 27417 and 27433.
LCM(27417,27433) = 31 × 131 × 191 × 371 × 71 × 39191
LCM(27417,27433) = 752130561
Related Least Common Multiples of 27417
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- LCM of 27417 and 27433
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Related Least Common Multiples of 27433
- LCM of 27433 and 27437
- LCM of 27433 and 27438
- LCM of 27433 and 27439
- LCM of 27433 and 27440
- LCM of 27433 and 27441
- LCM of 27433 and 27442
- LCM of 27433 and 27443
- LCM of 27433 and 27444
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- LCM of 27433 and 27447
- LCM of 27433 and 27448
- LCM of 27433 and 27449
- LCM of 27433 and 27450
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