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What is the Least Common Multiple of 12616 and 12622?

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 12616 and 12622 is 79619576.

LCM(12616,12622) = 79619576

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Least Common Multiple of 12616 and 12622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12616 and 12622, than apply into the LCM equation.

GCF(12616,12622) = 2
LCM(12616,12622) = ( 12616 × 12622) / 2
LCM(12616,12622) = 159239152 / 2
LCM(12616,12622) = 79619576

Least Common Multiple (LCM) of 12616 and 12622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12616 and 12622. First we will calculate the prime factors of 12616 and 12622.

Prime Factorization of 12616

Prime factors of 12616 are 2, 19, 83. Prime factorization of 12616 in exponential form is:

12616 = 23 × 191 × 831

Prime Factorization of 12622

Prime factors of 12622 are 2, 6311. Prime factorization of 12622 in exponential form is:

12622 = 21 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 12616 and 12622.

LCM(12616,12622) = 23 × 191 × 831 × 63111
LCM(12616,12622) = 79619576