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What is the Least Common Multiple of 94529 and 94549?

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 94529 and 94549 is 8937622421.

LCM(94529,94549) = 8937622421

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Least Common Multiple of 94529 and 94549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94529 and 94549, than apply into the LCM equation.

GCF(94529,94549) = 1
LCM(94529,94549) = ( 94529 × 94549) / 1
LCM(94529,94549) = 8937622421 / 1
LCM(94529,94549) = 8937622421

Least Common Multiple (LCM) of 94529 and 94549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94529 and 94549. First we will calculate the prime factors of 94529 and 94549.

Prime Factorization of 94529

Prime factors of 94529 are 94529. Prime factorization of 94529 in exponential form is:

94529 = 945291

Prime Factorization of 94549

Prime factors of 94549 are 7, 13, 1039. Prime factorization of 94549 in exponential form is:

94549 = 71 × 131 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 94529 and 94549.

LCM(94529,94549) = 945291 × 71 × 131 × 10391
LCM(94529,94549) = 8937622421