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What is the Least Common Multiple of 94626 and 94637?

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 94637 is 8955120762.

LCM(94626,94637) = 8955120762

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Least Common Multiple of 94626 and 94637 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 94637, than apply into the LCM equation.

GCF(94626,94637) = 1
LCM(94626,94637) = ( 94626 × 94637) / 1
LCM(94626,94637) = 8955120762 / 1
LCM(94626,94637) = 8955120762

Least Common Multiple (LCM) of 94626 and 94637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94626 and 94637. First we will calculate the prime factors of 94626 and 94637.

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 94637

Prime factors of 94637 are 101, 937. Prime factorization of 94637 in exponential form is:

94637 = 1011 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 94626 and 94637.

LCM(94626,94637) = 21 × 32 × 71 × 7511 × 1011 × 9371
LCM(94626,94637) = 8955120762