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What is the Least Common Multiple of 93156 and 93160?

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 93156 and 93160 is 2169603240.

LCM(93156,93160) = 2169603240

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Least Common Multiple of 93156 and 93160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93156 and 93160, than apply into the LCM equation.

GCF(93156,93160) = 4
LCM(93156,93160) = ( 93156 × 93160) / 4
LCM(93156,93160) = 8678412960 / 4
LCM(93156,93160) = 2169603240

Least Common Multiple (LCM) of 93156 and 93160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93156 and 93160. First we will calculate the prime factors of 93156 and 93160.

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

Prime Factorization of 93160

Prime factors of 93160 are 2, 5, 17, 137. Prime factorization of 93160 in exponential form is:

93160 = 23 × 51 × 171 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 93156 and 93160.

LCM(93156,93160) = 23 × 31 × 71 × 11091 × 51 × 171 × 1371
LCM(93156,93160) = 2169603240