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What is the Least Common Multiple of 94118 and 94131?

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 94118 and 94131 is 8859421458.

LCM(94118,94131) = 8859421458

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Least Common Multiple of 94118 and 94131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94118 and 94131, than apply into the LCM equation.

GCF(94118,94131) = 1
LCM(94118,94131) = ( 94118 × 94131) / 1
LCM(94118,94131) = 8859421458 / 1
LCM(94118,94131) = 8859421458

Least Common Multiple (LCM) of 94118 and 94131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94118 and 94131. First we will calculate the prime factors of 94118 and 94131.

Prime Factorization of 94118

Prime factors of 94118 are 2, 47059. Prime factorization of 94118 in exponential form is:

94118 = 21 × 470591

Prime Factorization of 94131

Prime factors of 94131 are 3, 10459. Prime factorization of 94131 in exponential form is:

94131 = 32 × 104591

Now multiplying the highest exponent prime factors to calculate the LCM of 94118 and 94131.

LCM(94118,94131) = 21 × 470591 × 32 × 104591
LCM(94118,94131) = 8859421458