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What is the Least Common Multiple of 94211 and 94220?

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 94220 is 8876560420.

LCM(94211,94220) = 8876560420

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Least Common Multiple of 94211 and 94220 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 94220, than apply into the LCM equation.

GCF(94211,94220) = 1
LCM(94211,94220) = ( 94211 × 94220) / 1
LCM(94211,94220) = 8876560420 / 1
LCM(94211,94220) = 8876560420

Least Common Multiple (LCM) of 94211 and 94220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94211 and 94220. First we will calculate the prime factors of 94211 and 94220.

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 94220

Prime factors of 94220 are 2, 5, 7, 673. Prime factorization of 94220 in exponential form is:

94220 = 22 × 51 × 71 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 94211 and 94220.

LCM(94211,94220) = 131 × 72471 × 22 × 51 × 71 × 6731
LCM(94211,94220) = 8876560420