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What is the Least Common Multiple of 93137 and 93156?

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 93137 and 93156 is 8676270372.

LCM(93137,93156) = 8676270372

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Least Common Multiple of 93137 and 93156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93137 and 93156, than apply into the LCM equation.

GCF(93137,93156) = 1
LCM(93137,93156) = ( 93137 × 93156) / 1
LCM(93137,93156) = 8676270372 / 1
LCM(93137,93156) = 8676270372

Least Common Multiple (LCM) of 93137 and 93156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93137 and 93156. First we will calculate the prime factors of 93137 and 93156.

Prime Factorization of 93137

Prime factors of 93137 are 11, 8467. Prime factorization of 93137 in exponential form is:

93137 = 111 × 84671

Prime Factorization of 93156

Prime factors of 93156 are 2, 3, 7, 1109. Prime factorization of 93156 in exponential form is:

93156 = 22 × 31 × 71 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 93137 and 93156.

LCM(93137,93156) = 111 × 84671 × 22 × 31 × 71 × 11091
LCM(93137,93156) = 8676270372