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What is the Least Common Multiple of 94791 and 94802?

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 94791 and 94802 is 8986376382.

LCM(94791,94802) = 8986376382

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Least Common Multiple of 94791 and 94802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94791 and 94802, than apply into the LCM equation.

GCF(94791,94802) = 1
LCM(94791,94802) = ( 94791 × 94802) / 1
LCM(94791,94802) = 8986376382 / 1
LCM(94791,94802) = 8986376382

Least Common Multiple (LCM) of 94791 and 94802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94791 and 94802. First we will calculate the prime factors of 94791 and 94802.

Prime Factorization of 94791

Prime factors of 94791 are 3, 19, 1663. Prime factorization of 94791 in exponential form is:

94791 = 31 × 191 × 16631

Prime Factorization of 94802

Prime factors of 94802 are 2, 107, 443. Prime factorization of 94802 in exponential form is:

94802 = 21 × 1071 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 94791 and 94802.

LCM(94791,94802) = 31 × 191 × 16631 × 21 × 1071 × 4431
LCM(94791,94802) = 8986376382