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What is the Least Common Multiple of 94665 and 94685?

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 94665 and 94685 is 1792671105.

LCM(94665,94685) = 1792671105

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Least Common Multiple of 94665 and 94685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94665 and 94685, than apply into the LCM equation.

GCF(94665,94685) = 5
LCM(94665,94685) = ( 94665 × 94685) / 5
LCM(94665,94685) = 8963355525 / 5
LCM(94665,94685) = 1792671105

Least Common Multiple (LCM) of 94665 and 94685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94665 and 94685. First we will calculate the prime factors of 94665 and 94685.

Prime Factorization of 94665

Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:

94665 = 31 × 51 × 63111

Prime Factorization of 94685

Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:

94685 = 51 × 291 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 94665 and 94685.

LCM(94665,94685) = 31 × 51 × 63111 × 291 × 6531
LCM(94665,94685) = 1792671105