GCF and LCM Calculator Logo

What is the Least Common Multiple of 94614 and 94629?

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 94614 and 94629 is 2984409402.

LCM(94614,94629) = 2984409402

LCM Calculator and
and

Least Common Multiple of 94614 and 94629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94614 and 94629, than apply into the LCM equation.

GCF(94614,94629) = 3
LCM(94614,94629) = ( 94614 × 94629) / 3
LCM(94614,94629) = 8953228206 / 3
LCM(94614,94629) = 2984409402

Least Common Multiple (LCM) of 94614 and 94629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94614 and 94629. First we will calculate the prime factors of 94614 and 94629.

Prime Factorization of 94614

Prime factors of 94614 are 2, 3, 13, 1213. Prime factorization of 94614 in exponential form is:

94614 = 21 × 31 × 131 × 12131

Prime Factorization of 94629

Prime factors of 94629 are 3, 31543. Prime factorization of 94629 in exponential form is:

94629 = 31 × 315431

Now multiplying the highest exponent prime factors to calculate the LCM of 94614 and 94629.

LCM(94614,94629) = 21 × 31 × 131 × 12131 × 315431
LCM(94614,94629) = 2984409402