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What is the Least Common Multiple of 94525 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 94525 and 94538 is 8936204450.

LCM(94525,94538) = 8936204450

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Least Common Multiple of 94525 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 94525 and 94538, than apply into the LCM equation.

GCF(94525,94538) = 1
LCM(94525,94538) = ( 94525 × 94538) / 1
LCM(94525,94538) = 8936204450 / 1
LCM(94525,94538) = 8936204450

Least Common Multiple (LCM) of 94525 and 94538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94525 and 94538. First we will calculate the prime factors of 94525 and 94538.

Prime Factorization of 94525

Prime factors of 94525 are 5, 19, 199. Prime factorization of 94525 in exponential form is:

94525 = 52 × 191 × 1991

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 94525 and 94538.

LCM(94525,94538) = 52 × 191 × 1991 × 21 × 472691
LCM(94525,94538) = 8936204450