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What is the Least Common Multiple of 94334 and 94339?

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 94334 and 94339 is 8899375226.

LCM(94334,94339) = 8899375226

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Least Common Multiple of 94334 and 94339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94334 and 94339, than apply into the LCM equation.

GCF(94334,94339) = 1
LCM(94334,94339) = ( 94334 × 94339) / 1
LCM(94334,94339) = 8899375226 / 1
LCM(94334,94339) = 8899375226

Least Common Multiple (LCM) of 94334 and 94339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94334 and 94339. First we will calculate the prime factors of 94334 and 94339.

Prime Factorization of 94334

Prime factors of 94334 are 2, 101, 467. Prime factorization of 94334 in exponential form is:

94334 = 21 × 1011 × 4671

Prime Factorization of 94339

Prime factors of 94339 are 7, 13477. Prime factorization of 94339 in exponential form is:

94339 = 71 × 134771

Now multiplying the highest exponent prime factors to calculate the LCM of 94334 and 94339.

LCM(94334,94339) = 21 × 1011 × 4671 × 71 × 134771
LCM(94334,94339) = 8899375226