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What is the Least Common Multiple of 94528 and 94539?

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 94528 and 94539 is 8936582592.

LCM(94528,94539) = 8936582592

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Least Common Multiple of 94528 and 94539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94528 and 94539, than apply into the LCM equation.

GCF(94528,94539) = 1
LCM(94528,94539) = ( 94528 × 94539) / 1
LCM(94528,94539) = 8936582592 / 1
LCM(94528,94539) = 8936582592

Least Common Multiple (LCM) of 94528 and 94539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94528 and 94539. First we will calculate the prime factors of 94528 and 94539.

Prime Factorization of 94528

Prime factors of 94528 are 2, 7, 211. Prime factorization of 94528 in exponential form is:

94528 = 26 × 71 × 2111

Prime Factorization of 94539

Prime factors of 94539 are 3, 31513. Prime factorization of 94539 in exponential form is:

94539 = 31 × 315131

Now multiplying the highest exponent prime factors to calculate the LCM of 94528 and 94539.

LCM(94528,94539) = 26 × 71 × 2111 × 31 × 315131
LCM(94528,94539) = 8936582592