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What is the Least Common Multiple of 94521 and 94528?

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 94521 and 94528 is 1276411584.

LCM(94521,94528) = 1276411584

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Least Common Multiple of 94521 and 94528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94521 and 94528, than apply into the LCM equation.

GCF(94521,94528) = 7
LCM(94521,94528) = ( 94521 × 94528) / 7
LCM(94521,94528) = 8934881088 / 7
LCM(94521,94528) = 1276411584

Least Common Multiple (LCM) of 94521 and 94528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94521 and 94528. First we will calculate the prime factors of 94521 and 94528.

Prime Factorization of 94521

Prime factors of 94521 are 3, 7, 643. Prime factorization of 94521 in exponential form is:

94521 = 31 × 72 × 6431

Prime Factorization of 94528

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

94528 = 26 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 94521 and 94528.

LCM(94521,94528) = 31 × 72 × 6431 × 26 × 2111
LCM(94521,94528) = 1276411584