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What is the Least Common Multiple of 94418 and 94432?

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 94418 and 94432 is 4458040288.

LCM(94418,94432) = 4458040288

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Least Common Multiple of 94418 and 94432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94418 and 94432, than apply into the LCM equation.

GCF(94418,94432) = 2
LCM(94418,94432) = ( 94418 × 94432) / 2
LCM(94418,94432) = 8916080576 / 2
LCM(94418,94432) = 4458040288

Least Common Multiple (LCM) of 94418 and 94432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94418 and 94432. First we will calculate the prime factors of 94418 and 94432.

Prime Factorization of 94418

Prime factors of 94418 are 2, 17, 2777. Prime factorization of 94418 in exponential form is:

94418 = 21 × 171 × 27771

Prime Factorization of 94432

Prime factors of 94432 are 2, 13, 227. Prime factorization of 94432 in exponential form is:

94432 = 25 × 131 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 94418 and 94432.

LCM(94418,94432) = 25 × 171 × 27771 × 131 × 2271
LCM(94418,94432) = 4458040288