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What is the Least Common Multiple of 94790 and 94796?

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 94790 and 94796 is 4492856420.

LCM(94790,94796) = 4492856420

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Least Common Multiple of 94790 and 94796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94790 and 94796, than apply into the LCM equation.

GCF(94790,94796) = 2
LCM(94790,94796) = ( 94790 × 94796) / 2
LCM(94790,94796) = 8985712840 / 2
LCM(94790,94796) = 4492856420

Least Common Multiple (LCM) of 94790 and 94796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94790 and 94796. First we will calculate the prime factors of 94790 and 94796.

Prime Factorization of 94790

Prime factors of 94790 are 2, 5, 9479. Prime factorization of 94790 in exponential form is:

94790 = 21 × 51 × 94791

Prime Factorization of 94796

Prime factors of 94796 are 2, 13, 1823. Prime factorization of 94796 in exponential form is:

94796 = 22 × 131 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 94790 and 94796.

LCM(94790,94796) = 22 × 51 × 94791 × 131 × 18231
LCM(94790,94796) = 4492856420