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What is the Least Common Multiple of 62919 and 62932?

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 62919 and 62932 is 3959618508.

LCM(62919,62932) = 3959618508

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Least Common Multiple of 62919 and 62932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62919 and 62932, than apply into the LCM equation.

GCF(62919,62932) = 1
LCM(62919,62932) = ( 62919 × 62932) / 1
LCM(62919,62932) = 3959618508 / 1
LCM(62919,62932) = 3959618508

Least Common Multiple (LCM) of 62919 and 62932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62919 and 62932. First we will calculate the prime factors of 62919 and 62932.

Prime Factorization of 62919

Prime factors of 62919 are 3, 6991. Prime factorization of 62919 in exponential form is:

62919 = 32 × 69911

Prime Factorization of 62932

Prime factors of 62932 are 2, 15733. Prime factorization of 62932 in exponential form is:

62932 = 22 × 157331

Now multiplying the highest exponent prime factors to calculate the LCM of 62919 and 62932.

LCM(62919,62932) = 32 × 69911 × 22 × 157331
LCM(62919,62932) = 3959618508