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What is the Least Common Multiple of 94628 and 94645?

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 94628 and 94645 is 8956067060.

LCM(94628,94645) = 8956067060

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Least Common Multiple of 94628 and 94645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94628 and 94645, than apply into the LCM equation.

GCF(94628,94645) = 1
LCM(94628,94645) = ( 94628 × 94645) / 1
LCM(94628,94645) = 8956067060 / 1
LCM(94628,94645) = 8956067060

Least Common Multiple (LCM) of 94628 and 94645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94628 and 94645. First we will calculate the prime factors of 94628 and 94645.

Prime Factorization of 94628

Prime factors of 94628 are 2, 41, 577. Prime factorization of 94628 in exponential form is:

94628 = 22 × 411 × 5771

Prime Factorization of 94645

Prime factors of 94645 are 5, 23, 823. Prime factorization of 94645 in exponential form is:

94645 = 51 × 231 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 94628 and 94645.

LCM(94628,94645) = 22 × 411 × 5771 × 51 × 231 × 8231
LCM(94628,94645) = 8956067060