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What is the Least Common Multiple of 28137 and 28156?

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 28137 and 28156 is 792225372.

LCM(28137,28156) = 792225372

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Least Common Multiple of 28137 and 28156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28137 and 28156, than apply into the LCM equation.

GCF(28137,28156) = 1
LCM(28137,28156) = ( 28137 × 28156) / 1
LCM(28137,28156) = 792225372 / 1
LCM(28137,28156) = 792225372

Least Common Multiple (LCM) of 28137 and 28156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28137 and 28156. First we will calculate the prime factors of 28137 and 28156.

Prime Factorization of 28137

Prime factors of 28137 are 3, 83, 113. Prime factorization of 28137 in exponential form is:

28137 = 31 × 831 × 1131

Prime Factorization of 28156

Prime factors of 28156 are 2, 7039. Prime factorization of 28156 in exponential form is:

28156 = 22 × 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 28137 and 28156.

LCM(28137,28156) = 31 × 831 × 1131 × 22 × 70391
LCM(28137,28156) = 792225372