GCF and LCM Calculator Logo

What is the Least Common Multiple of 95140 and 95152?

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 95140 and 95152 is 2263190320.

LCM(95140,95152) = 2263190320

LCM Calculator and
and

Least Common Multiple of 95140 and 95152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95140 and 95152, than apply into the LCM equation.

GCF(95140,95152) = 4
LCM(95140,95152) = ( 95140 × 95152) / 4
LCM(95140,95152) = 9052761280 / 4
LCM(95140,95152) = 2263190320

Least Common Multiple (LCM) of 95140 and 95152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95140 and 95152. First we will calculate the prime factors of 95140 and 95152.

Prime Factorization of 95140

Prime factors of 95140 are 2, 5, 67, 71. Prime factorization of 95140 in exponential form is:

95140 = 22 × 51 × 671 × 711

Prime Factorization of 95152

Prime factors of 95152 are 2, 19, 313. Prime factorization of 95152 in exponential form is:

95152 = 24 × 191 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 95140 and 95152.

LCM(95140,95152) = 24 × 51 × 671 × 711 × 191 × 3131
LCM(95140,95152) = 2263190320