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What is the Least Common Multiple of 12638 and 12658?

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 12638 and 12658 is 79985902.

LCM(12638,12658) = 79985902

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Least Common Multiple of 12638 and 12658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12638 and 12658, than apply into the LCM equation.

GCF(12638,12658) = 2
LCM(12638,12658) = ( 12638 × 12658) / 2
LCM(12638,12658) = 159971804 / 2
LCM(12638,12658) = 79985902

Least Common Multiple (LCM) of 12638 and 12658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12638 and 12658. First we will calculate the prime factors of 12638 and 12658.

Prime Factorization of 12638

Prime factors of 12638 are 2, 71, 89. Prime factorization of 12638 in exponential form is:

12638 = 21 × 711 × 891

Prime Factorization of 12658

Prime factors of 12658 are 2, 6329. Prime factorization of 12658 in exponential form is:

12658 = 21 × 63291

Now multiplying the highest exponent prime factors to calculate the LCM of 12638 and 12658.

LCM(12638,12658) = 21 × 711 × 891 × 63291
LCM(12638,12658) = 79985902