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What is the Least Common Multiple of 94413 and 94429?

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 94413 and 94429 is 8915325177.

LCM(94413,94429) = 8915325177

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Least Common Multiple of 94413 and 94429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94413 and 94429, than apply into the LCM equation.

GCF(94413,94429) = 1
LCM(94413,94429) = ( 94413 × 94429) / 1
LCM(94413,94429) = 8915325177 / 1
LCM(94413,94429) = 8915325177

Least Common Multiple (LCM) of 94413 and 94429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94413 and 94429. First we will calculate the prime factors of 94413 and 94429.

Prime Factorization of 94413

Prime factors of 94413 are 3, 11, 2861. Prime factorization of 94413 in exponential form is:

94413 = 31 × 111 × 28611

Prime Factorization of 94429

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

94429 = 891 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 94413 and 94429.

LCM(94413,94429) = 31 × 111 × 28611 × 891 × 10611
LCM(94413,94429) = 8915325177