GCF and LCM Calculator Logo

What is the Least Common Multiple of 95388 and 95406?

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 95388 and 95406 is 1516764588.

LCM(95388,95406) = 1516764588

LCM Calculator and
and

Least Common Multiple of 95388 and 95406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95388 and 95406, than apply into the LCM equation.

GCF(95388,95406) = 6
LCM(95388,95406) = ( 95388 × 95406) / 6
LCM(95388,95406) = 9100587528 / 6
LCM(95388,95406) = 1516764588

Least Common Multiple (LCM) of 95388 and 95406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95388 and 95406. First we will calculate the prime factors of 95388 and 95406.

Prime Factorization of 95388

Prime factors of 95388 are 2, 3, 7949. Prime factorization of 95388 in exponential form is:

95388 = 22 × 31 × 79491

Prime Factorization of 95406

Prime factors of 95406 are 2, 3, 15901. Prime factorization of 95406 in exponential form is:

95406 = 21 × 31 × 159011

Now multiplying the highest exponent prime factors to calculate the LCM of 95388 and 95406.

LCM(95388,95406) = 22 × 31 × 79491 × 159011
LCM(95388,95406) = 1516764588