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What is the Least Common Multiple of 94377 and 94388?

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 94377 and 94388 is 8908056276.

LCM(94377,94388) = 8908056276

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Least Common Multiple of 94377 and 94388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94377 and 94388, than apply into the LCM equation.

GCF(94377,94388) = 1
LCM(94377,94388) = ( 94377 × 94388) / 1
LCM(94377,94388) = 8908056276 / 1
LCM(94377,94388) = 8908056276

Least Common Multiple (LCM) of 94377 and 94388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94377 and 94388. First we will calculate the prime factors of 94377 and 94388.

Prime Factorization of 94377

Prime factors of 94377 are 3, 163, 193. Prime factorization of 94377 in exponential form is:

94377 = 31 × 1631 × 1931

Prime Factorization of 94388

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

94388 = 22 × 71 × 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 94377 and 94388.

LCM(94377,94388) = 31 × 1631 × 1931 × 22 × 71 × 33711
LCM(94377,94388) = 8908056276