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What is the Least Common Multiple of 15926 and 15942?

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 15926 and 15942 is 126946146.

LCM(15926,15942) = 126946146

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Least Common Multiple of 15926 and 15942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15926 and 15942, than apply into the LCM equation.

GCF(15926,15942) = 2
LCM(15926,15942) = ( 15926 × 15942) / 2
LCM(15926,15942) = 253892292 / 2
LCM(15926,15942) = 126946146

Least Common Multiple (LCM) of 15926 and 15942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15926 and 15942. First we will calculate the prime factors of 15926 and 15942.

Prime Factorization of 15926

Prime factors of 15926 are 2, 7963. Prime factorization of 15926 in exponential form is:

15926 = 21 × 79631

Prime Factorization of 15942

Prime factors of 15942 are 2, 3, 2657. Prime factorization of 15942 in exponential form is:

15942 = 21 × 31 × 26571

Now multiplying the highest exponent prime factors to calculate the LCM of 15926 and 15942.

LCM(15926,15942) = 21 × 79631 × 31 × 26571
LCM(15926,15942) = 126946146