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What is the Least Common Multiple of 94791 and 94798?

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 94798 is 8985997218.

LCM(94791,94798) = 8985997218

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Least Common Multiple of 94791 and 94798 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 94798, than apply into the LCM equation.

GCF(94791,94798) = 1
LCM(94791,94798) = ( 94791 × 94798) / 1
LCM(94791,94798) = 8985997218 / 1
LCM(94791,94798) = 8985997218

Least Common Multiple (LCM) of 94791 and 94798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94791 and 94798. First we will calculate the prime factors of 94791 and 94798.

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 94798

Prime factors of 94798 are 2, 11, 31, 139. Prime factorization of 94798 in exponential form is:

94798 = 21 × 111 × 311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 94791 and 94798.

LCM(94791,94798) = 31 × 191 × 16631 × 21 × 111 × 311 × 1391
LCM(94791,94798) = 8985997218