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What is the Least Common Multiple of 94388 and 94404?

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 94388 and 94404 is 2227651188.

LCM(94388,94404) = 2227651188

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Least Common Multiple of 94388 and 94404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94388 and 94404, than apply into the LCM equation.

GCF(94388,94404) = 4
LCM(94388,94404) = ( 94388 × 94404) / 4
LCM(94388,94404) = 8910604752 / 4
LCM(94388,94404) = 2227651188

Least Common Multiple (LCM) of 94388 and 94404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94388 and 94404. First we will calculate the prime factors of 94388 and 94404.

Prime Factorization of 94388

Prime factors of 94388 are 2, 7, 3371. Prime factorization of 94388 in exponential form is:

94388 = 22 × 71 × 33711

Prime Factorization of 94404

Prime factors of 94404 are 2, 3, 7867. Prime factorization of 94404 in exponential form is:

94404 = 22 × 31 × 78671

Now multiplying the highest exponent prime factors to calculate the LCM of 94388 and 94404.

LCM(94388,94404) = 22 × 71 × 33711 × 31 × 78671
LCM(94388,94404) = 2227651188