GCF and LCM Calculator Logo

What is the Least Common Multiple of 95148 and 95162?

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 95148 and 95162 is 4527236988.

LCM(95148,95162) = 4527236988

LCM Calculator and
and

Least Common Multiple of 95148 and 95162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95148 and 95162, than apply into the LCM equation.

GCF(95148,95162) = 2
LCM(95148,95162) = ( 95148 × 95162) / 2
LCM(95148,95162) = 9054473976 / 2
LCM(95148,95162) = 4527236988

Least Common Multiple (LCM) of 95148 and 95162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95148 and 95162. First we will calculate the prime factors of 95148 and 95162.

Prime Factorization of 95148

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

95148 = 22 × 33 × 8811

Prime Factorization of 95162

Prime factors of 95162 are 2, 47581. Prime factorization of 95162 in exponential form is:

95162 = 21 × 475811

Now multiplying the highest exponent prime factors to calculate the LCM of 95148 and 95162.

LCM(95148,95162) = 22 × 33 × 8811 × 475811
LCM(95148,95162) = 4527236988