GCF and LCM Calculator Logo

What is the Least Common Multiple of 95136 and 95148?

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 95136 and 95148 is 754333344.

LCM(95136,95148) = 754333344

LCM Calculator and
and

Least Common Multiple of 95136 and 95148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95136 and 95148, than apply into the LCM equation.

GCF(95136,95148) = 12
LCM(95136,95148) = ( 95136 × 95148) / 12
LCM(95136,95148) = 9052000128 / 12
LCM(95136,95148) = 754333344

Least Common Multiple (LCM) of 95136 and 95148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95136 and 95148. First we will calculate the prime factors of 95136 and 95148.

Prime Factorization of 95136

Prime factors of 95136 are 2, 3, 991. Prime factorization of 95136 in exponential form is:

95136 = 25 × 31 × 9911

Prime Factorization of 95148

Prime factors of 95148 are 2, 3, 881. Prime factorization of 95148 in exponential form is:

95148 = 22 × 33 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 95136 and 95148.

LCM(95136,95148) = 25 × 33 × 9911 × 8811
LCM(95136,95148) = 754333344