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What is the Least Common Multiple of 94626 and 94640?

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 94626 and 94640 is 639671760.

LCM(94626,94640) = 639671760

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Least Common Multiple of 94626 and 94640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94626 and 94640, than apply into the LCM equation.

GCF(94626,94640) = 14
LCM(94626,94640) = ( 94626 × 94640) / 14
LCM(94626,94640) = 8955404640 / 14
LCM(94626,94640) = 639671760

Least Common Multiple (LCM) of 94626 and 94640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94626 and 94640. First we will calculate the prime factors of 94626 and 94640.

Prime Factorization of 94626

Prime factors of 94626 are 2, 3, 7, 751. Prime factorization of 94626 in exponential form is:

94626 = 21 × 32 × 71 × 7511

Prime Factorization of 94640

Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:

94640 = 24 × 51 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 94626 and 94640.

LCM(94626,94640) = 24 × 32 × 71 × 7511 × 51 × 132
LCM(94626,94640) = 639671760