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What is the Least Common Multiple of 94705 and 94713?

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 94705 and 94713 is 8969794665.

LCM(94705,94713) = 8969794665

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Least Common Multiple of 94705 and 94713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94705 and 94713, than apply into the LCM equation.

GCF(94705,94713) = 1
LCM(94705,94713) = ( 94705 × 94713) / 1
LCM(94705,94713) = 8969794665 / 1
LCM(94705,94713) = 8969794665

Least Common Multiple (LCM) of 94705 and 94713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94705 and 94713. First we will calculate the prime factors of 94705 and 94713.

Prime Factorization of 94705

Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:

94705 = 51 × 131 × 311 × 471

Prime Factorization of 94713

Prime factors of 94713 are 3, 131, 241. Prime factorization of 94713 in exponential form is:

94713 = 31 × 1311 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 94705 and 94713.

LCM(94705,94713) = 51 × 131 × 311 × 471 × 31 × 1311 × 2411
LCM(94705,94713) = 8969794665