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What is the Least Common Multiple of 94431 and 94437?

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 94431 and 94437 is 2972593449.

LCM(94431,94437) = 2972593449

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Least Common Multiple of 94431 and 94437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94431 and 94437, than apply into the LCM equation.

GCF(94431,94437) = 3
LCM(94431,94437) = ( 94431 × 94437) / 3
LCM(94431,94437) = 8917780347 / 3
LCM(94431,94437) = 2972593449

Least Common Multiple (LCM) of 94431 and 94437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94431 and 94437. First we will calculate the prime factors of 94431 and 94437.

Prime Factorization of 94431

Prime factors of 94431 are 3, 31477. Prime factorization of 94431 in exponential form is:

94431 = 31 × 314771

Prime Factorization of 94437

Prime factors of 94437 are 3, 7, 1499. Prime factorization of 94437 in exponential form is:

94437 = 32 × 71 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 94431 and 94437.

LCM(94431,94437) = 32 × 314771 × 71 × 14991
LCM(94431,94437) = 2972593449