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What is the Least Common Multiple of 94726 and 94731?

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 94726 and 94731 is 8973488706.

LCM(94726,94731) = 8973488706

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Least Common Multiple of 94726 and 94731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94726 and 94731, than apply into the LCM equation.

GCF(94726,94731) = 1
LCM(94726,94731) = ( 94726 × 94731) / 1
LCM(94726,94731) = 8973488706 / 1
LCM(94726,94731) = 8973488706

Least Common Multiple (LCM) of 94726 and 94731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94726 and 94731. First we will calculate the prime factors of 94726 and 94731.

Prime Factorization of 94726

Prime factors of 94726 are 2, 47363. Prime factorization of 94726 in exponential form is:

94726 = 21 × 473631

Prime Factorization of 94731

Prime factors of 94731 are 3, 7, 13, 347. Prime factorization of 94731 in exponential form is:

94731 = 31 × 71 × 131 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 94726 and 94731.

LCM(94726,94731) = 21 × 473631 × 31 × 71 × 131 × 3471
LCM(94726,94731) = 8973488706