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What is the Least Common Multiple of 94211 and 94226?

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 94211 and 94226 is 8877125686.

LCM(94211,94226) = 8877125686

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Least Common Multiple of 94211 and 94226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94211 and 94226, than apply into the LCM equation.

GCF(94211,94226) = 1
LCM(94211,94226) = ( 94211 × 94226) / 1
LCM(94211,94226) = 8877125686 / 1
LCM(94211,94226) = 8877125686

Least Common Multiple (LCM) of 94211 and 94226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94211 and 94226. First we will calculate the prime factors of 94211 and 94226.

Prime Factorization of 94211

Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:

94211 = 131 × 72471

Prime Factorization of 94226

Prime factors of 94226 are 2, 11, 4283. Prime factorization of 94226 in exponential form is:

94226 = 21 × 111 × 42831

Now multiplying the highest exponent prime factors to calculate the LCM of 94211 and 94226.

LCM(94211,94226) = 131 × 72471 × 21 × 111 × 42831
LCM(94211,94226) = 8877125686