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What is the Least Common Multiple of 94784 and 94799?

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 94784 and 94799 is 8985428416.

LCM(94784,94799) = 8985428416

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Least Common Multiple of 94784 and 94799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94784 and 94799, than apply into the LCM equation.

GCF(94784,94799) = 1
LCM(94784,94799) = ( 94784 × 94799) / 1
LCM(94784,94799) = 8985428416 / 1
LCM(94784,94799) = 8985428416

Least Common Multiple (LCM) of 94784 and 94799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94784 and 94799. First we will calculate the prime factors of 94784 and 94799.

Prime Factorization of 94784

Prime factors of 94784 are 2, 1481. Prime factorization of 94784 in exponential form is:

94784 = 26 × 14811

Prime Factorization of 94799

Prime factors of 94799 are 47, 2017. Prime factorization of 94799 in exponential form is:

94799 = 471 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 94784 and 94799.

LCM(94784,94799) = 26 × 14811 × 471 × 20171
LCM(94784,94799) = 8985428416