What is the Least Common Multiple of 27416 and 27421?
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 27416 and 27421 is 751774136.
LCM(27416,27421) = 751774136
Least Common Multiple of 27416 and 27421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27416 and 27421, than apply into the LCM equation.
GCF(27416,27421) = 1
LCM(27416,27421) = ( 27416 × 27421) / 1
LCM(27416,27421) = 751774136 / 1
LCM(27416,27421) = 751774136
Least Common Multiple (LCM) of 27416 and 27421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27416 and 27421. First we will calculate the prime factors of 27416 and 27421.
Prime Factorization of 27416
Prime factors of 27416 are 2, 23, 149. Prime factorization of 27416 in exponential form is:
27416 = 23 × 231 × 1491
Prime Factorization of 27421
Prime factors of 27421 are 17, 1613. Prime factorization of 27421 in exponential form is:
27421 = 171 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 27416 and 27421.
LCM(27416,27421) = 23 × 231 × 1491 × 171 × 16131
LCM(27416,27421) = 751774136
Related Least Common Multiples of 27416
- LCM of 27416 and 27420
- LCM of 27416 and 27421
- LCM of 27416 and 27422
- LCM of 27416 and 27423
- LCM of 27416 and 27424
- LCM of 27416 and 27425
- LCM of 27416 and 27426
- LCM of 27416 and 27427
- LCM of 27416 and 27428
- LCM of 27416 and 27429
- LCM of 27416 and 27430
- LCM of 27416 and 27431
- LCM of 27416 and 27432
- LCM of 27416 and 27433
- LCM of 27416 and 27434
- LCM of 27416 and 27435
- LCM of 27416 and 27436
Related Least Common Multiples of 27421
- LCM of 27421 and 27425
- LCM of 27421 and 27426
- LCM of 27421 and 27427
- LCM of 27421 and 27428
- LCM of 27421 and 27429
- LCM of 27421 and 27430
- LCM of 27421 and 27431
- LCM of 27421 and 27432
- LCM of 27421 and 27433
- LCM of 27421 and 27434
- LCM of 27421 and 27435
- LCM of 27421 and 27436
- LCM of 27421 and 27437
- LCM of 27421 and 27438
- LCM of 27421 and 27439
- LCM of 27421 and 27440
- LCM of 27421 and 27441