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What is the Least Common Multiple of 94418 and 94427?

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 94427 is 8915608486.

LCM(94418,94427) = 8915608486

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Least Common Multiple of 94418 and 94427 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 94427, than apply into the LCM equation.

GCF(94418,94427) = 1
LCM(94418,94427) = ( 94418 × 94427) / 1
LCM(94418,94427) = 8915608486 / 1
LCM(94418,94427) = 8915608486

Least Common Multiple (LCM) of 94418 and 94427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94418 and 94427. First we will calculate the prime factors of 94418 and 94427.

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 94427

Prime factors of 94427 are 94427. Prime factorization of 94427 in exponential form is:

94427 = 944271

Now multiplying the highest exponent prime factors to calculate the LCM of 94418 and 94427.

LCM(94418,94427) = 21 × 171 × 27771 × 944271
LCM(94418,94427) = 8915608486