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What is the Least Common Multiple of 93131 and 93144?

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 93131 and 93144 is 8674593864.

LCM(93131,93144) = 8674593864

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Least Common Multiple of 93131 and 93144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93131 and 93144, than apply into the LCM equation.

GCF(93131,93144) = 1
LCM(93131,93144) = ( 93131 × 93144) / 1
LCM(93131,93144) = 8674593864 / 1
LCM(93131,93144) = 8674593864

Least Common Multiple (LCM) of 93131 and 93144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93131 and 93144. First we will calculate the prime factors of 93131 and 93144.

Prime Factorization of 93131

Prime factors of 93131 are 93131. Prime factorization of 93131 in exponential form is:

93131 = 931311

Prime Factorization of 93144

Prime factors of 93144 are 2, 3, 3881. Prime factorization of 93144 in exponential form is:

93144 = 23 × 31 × 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 93131 and 93144.

LCM(93131,93144) = 931311 × 23 × 31 × 38811
LCM(93131,93144) = 8674593864