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What is the Least Common Multiple of 93108 and 93116?

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 93108 and 93116 is 2167461132.

LCM(93108,93116) = 2167461132

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Least Common Multiple of 93108 and 93116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93108 and 93116, than apply into the LCM equation.

GCF(93108,93116) = 4
LCM(93108,93116) = ( 93108 × 93116) / 4
LCM(93108,93116) = 8669844528 / 4
LCM(93108,93116) = 2167461132

Least Common Multiple (LCM) of 93108 and 93116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93108 and 93116. First we will calculate the prime factors of 93108 and 93116.

Prime Factorization of 93108

Prime factors of 93108 are 2, 3, 7759. Prime factorization of 93108 in exponential form is:

93108 = 22 × 31 × 77591

Prime Factorization of 93116

Prime factors of 93116 are 2, 23279. Prime factorization of 93116 in exponential form is:

93116 = 22 × 232791

Now multiplying the highest exponent prime factors to calculate the LCM of 93108 and 93116.

LCM(93108,93116) = 22 × 31 × 77591 × 232791
LCM(93108,93116) = 2167461132