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What is the Least Common Multiple of 94524 and 94538?

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 94524 and 94538 is 4468054956.

LCM(94524,94538) = 4468054956

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Least Common Multiple of 94524 and 94538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94524 and 94538, than apply into the LCM equation.

GCF(94524,94538) = 2
LCM(94524,94538) = ( 94524 × 94538) / 2
LCM(94524,94538) = 8936109912 / 2
LCM(94524,94538) = 4468054956

Least Common Multiple (LCM) of 94524 and 94538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94524 and 94538. First we will calculate the prime factors of 94524 and 94538.

Prime Factorization of 94524

Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:

94524 = 22 × 31 × 78771

Prime Factorization of 94538

Prime factors of 94538 are 2, 47269. Prime factorization of 94538 in exponential form is:

94538 = 21 × 472691

Now multiplying the highest exponent prime factors to calculate the LCM of 94524 and 94538.

LCM(94524,94538) = 22 × 31 × 78771 × 472691
LCM(94524,94538) = 4468054956