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What is the Least Common Multiple of 27291 and 27296?

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 27291 and 27296 is 744935136.

LCM(27291,27296) = 744935136

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Least Common Multiple of 27291 and 27296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27291 and 27296, than apply into the LCM equation.

GCF(27291,27296) = 1
LCM(27291,27296) = ( 27291 × 27296) / 1
LCM(27291,27296) = 744935136 / 1
LCM(27291,27296) = 744935136

Least Common Multiple (LCM) of 27291 and 27296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27291 and 27296. First we will calculate the prime factors of 27291 and 27296.

Prime Factorization of 27291

Prime factors of 27291 are 3, 11, 827. Prime factorization of 27291 in exponential form is:

27291 = 31 × 111 × 8271

Prime Factorization of 27296

Prime factors of 27296 are 2, 853. Prime factorization of 27296 in exponential form is:

27296 = 25 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 27291 and 27296.

LCM(27291,27296) = 31 × 111 × 8271 × 25 × 8531
LCM(27291,27296) = 744935136