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What is the Least Common Multiple of 5136 and 5142?

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 5136 and 5142 is 4401552.

LCM(5136,5142) = 4401552

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Least Common Multiple of 5136 and 5142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5136 and 5142, than apply into the LCM equation.

GCF(5136,5142) = 6
LCM(5136,5142) = ( 5136 × 5142) / 6
LCM(5136,5142) = 26409312 / 6
LCM(5136,5142) = 4401552

Least Common Multiple (LCM) of 5136 and 5142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5136 and 5142. First we will calculate the prime factors of 5136 and 5142.

Prime Factorization of 5136

Prime factors of 5136 are 2, 3, 107. Prime factorization of 5136 in exponential form is:

5136 = 24 × 31 × 1071

Prime Factorization of 5142

Prime factors of 5142 are 2, 3, 857. Prime factorization of 5142 in exponential form is:

5142 = 21 × 31 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 5136 and 5142.

LCM(5136,5142) = 24 × 31 × 1071 × 8571
LCM(5136,5142) = 4401552