GCF and LCM Calculator Logo

What is the Least Common Multiple of 94128 and 94136?

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 94128 and 94136 is 1107604176.

LCM(94128,94136) = 1107604176

LCM Calculator and
and

Least Common Multiple of 94128 and 94136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94128 and 94136, than apply into the LCM equation.

GCF(94128,94136) = 8
LCM(94128,94136) = ( 94128 × 94136) / 8
LCM(94128,94136) = 8860833408 / 8
LCM(94128,94136) = 1107604176

Least Common Multiple (LCM) of 94128 and 94136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94128 and 94136. First we will calculate the prime factors of 94128 and 94136.

Prime Factorization of 94128

Prime factors of 94128 are 2, 3, 37, 53. Prime factorization of 94128 in exponential form is:

94128 = 24 × 31 × 371 × 531

Prime Factorization of 94136

Prime factors of 94136 are 2, 7, 41. Prime factorization of 94136 in exponential form is:

94136 = 23 × 71 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 94128 and 94136.

LCM(94128,94136) = 24 × 31 × 371 × 531 × 71 × 412
LCM(94128,94136) = 1107604176