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What is the Least Common Multiple of 62976 and 62991?

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 62976 and 62991 is 1322307072.

LCM(62976,62991) = 1322307072

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Least Common Multiple of 62976 and 62991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62976 and 62991, than apply into the LCM equation.

GCF(62976,62991) = 3
LCM(62976,62991) = ( 62976 × 62991) / 3
LCM(62976,62991) = 3966921216 / 3
LCM(62976,62991) = 1322307072

Least Common Multiple (LCM) of 62976 and 62991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62976 and 62991. First we will calculate the prime factors of 62976 and 62991.

Prime Factorization of 62976

Prime factors of 62976 are 2, 3, 41. Prime factorization of 62976 in exponential form is:

62976 = 29 × 31 × 411

Prime Factorization of 62991

Prime factors of 62991 are 3, 2333. Prime factorization of 62991 in exponential form is:

62991 = 33 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 62976 and 62991.

LCM(62976,62991) = 29 × 33 × 411 × 23331
LCM(62976,62991) = 1322307072