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What is the Least Common Multiple of 93136 and 93151?

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 93136 and 93151 is 8675711536.

LCM(93136,93151) = 8675711536

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Least Common Multiple of 93136 and 93151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93136 and 93151, than apply into the LCM equation.

GCF(93136,93151) = 1
LCM(93136,93151) = ( 93136 × 93151) / 1
LCM(93136,93151) = 8675711536 / 1
LCM(93136,93151) = 8675711536

Least Common Multiple (LCM) of 93136 and 93151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93136 and 93151. First we will calculate the prime factors of 93136 and 93151.

Prime Factorization of 93136

Prime factors of 93136 are 2, 5821. Prime factorization of 93136 in exponential form is:

93136 = 24 × 58211

Prime Factorization of 93151

Prime factors of 93151 are 93151. Prime factorization of 93151 in exponential form is:

93151 = 931511

Now multiplying the highest exponent prime factors to calculate the LCM of 93136 and 93151.

LCM(93136,93151) = 24 × 58211 × 931511
LCM(93136,93151) = 8675711536