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What is the Least Common Multiple of 94429 and 94449?

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 94429 and 94449 is 8918724621.

LCM(94429,94449) = 8918724621

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Least Common Multiple of 94429 and 94449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94429 and 94449, than apply into the LCM equation.

GCF(94429,94449) = 1
LCM(94429,94449) = ( 94429 × 94449) / 1
LCM(94429,94449) = 8918724621 / 1
LCM(94429,94449) = 8918724621

Least Common Multiple (LCM) of 94429 and 94449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94429 and 94449. First we will calculate the prime factors of 94429 and 94449.

Prime Factorization of 94429

Prime factors of 94429 are 89, 1061. Prime factorization of 94429 in exponential form is:

94429 = 891 × 10611

Prime Factorization of 94449

Prime factors of 94449 are 3, 19, 1657. Prime factorization of 94449 in exponential form is:

94449 = 31 × 191 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 94429 and 94449.

LCM(94429,94449) = 891 × 10611 × 31 × 191 × 16571
LCM(94429,94449) = 8918724621