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What is the Least Common Multiple of 62313 and 62317?

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 62313 and 62317 is 3883159221.

LCM(62313,62317) = 3883159221

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Least Common Multiple of 62313 and 62317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62313 and 62317, than apply into the LCM equation.

GCF(62313,62317) = 1
LCM(62313,62317) = ( 62313 × 62317) / 1
LCM(62313,62317) = 3883159221 / 1
LCM(62313,62317) = 3883159221

Least Common Multiple (LCM) of 62313 and 62317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62313 and 62317. First we will calculate the prime factors of 62313 and 62317.

Prime Factorization of 62313

Prime factors of 62313 are 3, 20771. Prime factorization of 62313 in exponential form is:

62313 = 31 × 207711

Prime Factorization of 62317

Prime factors of 62317 are 101, 617. Prime factorization of 62317 in exponential form is:

62317 = 1011 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 62313 and 62317.

LCM(62313,62317) = 31 × 207711 × 1011 × 6171
LCM(62313,62317) = 3883159221