What is the Least Common Multiple of 94128 and 94138?

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 of 94128 and 94138 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 94138, than apply into the LCM equation.

GCF(94128,94138) = 2
LCM(94128,94138) = ( 94128 × 94138) / 2
LCM(94128,94138) = 8861021664 / 2
LCM(94128,94138) = 4430510832

Least Common Multiple (LCM) of 94128 and 94138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94128 and 94138. First we will calculate the prime factors of 94128 and 94138.

Prime Factorization of 94128

Prime Factorization of 94138

Now multiplying the highest exponent prime factors to calculate the LCM of 94128 and 94138.

LCM(94128,94138) = 2⁴ × 3¹ × 37¹ × 53¹ × 11² × 389¹
LCM(94128,94138) = 4430510832