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What is the Least Common Multiple of 94708 and 94724?

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 94708 and 94724 is 2242780148.

LCM(94708,94724) = 2242780148

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Least Common Multiple of 94708 and 94724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94708 and 94724, than apply into the LCM equation.

GCF(94708,94724) = 4
LCM(94708,94724) = ( 94708 × 94724) / 4
LCM(94708,94724) = 8971120592 / 4
LCM(94708,94724) = 2242780148

Least Common Multiple (LCM) of 94708 and 94724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94708 and 94724. First we will calculate the prime factors of 94708 and 94724.

Prime Factorization of 94708

Prime factors of 94708 are 2, 23677. Prime factorization of 94708 in exponential form is:

94708 = 22 × 236771

Prime Factorization of 94724

Prime factors of 94724 are 2, 7, 17, 199. Prime factorization of 94724 in exponential form is:

94724 = 22 × 71 × 171 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 94708 and 94724.

LCM(94708,94724) = 22 × 236771 × 71 × 171 × 1991
LCM(94708,94724) = 2242780148