GCF and LCM Calculator Logo

What is the Least Common Multiple of 95288 and 95296?

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 95288 and 95296 is 1135070656.

LCM(95288,95296) = 1135070656

LCM Calculator and
and

Least Common Multiple of 95288 and 95296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95288 and 95296, than apply into the LCM equation.

GCF(95288,95296) = 8
LCM(95288,95296) = ( 95288 × 95296) / 8
LCM(95288,95296) = 9080565248 / 8
LCM(95288,95296) = 1135070656

Least Common Multiple (LCM) of 95288 and 95296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95288 and 95296. First we will calculate the prime factors of 95288 and 95296.

Prime Factorization of 95288

Prime factors of 95288 are 2, 43, 277. Prime factorization of 95288 in exponential form is:

95288 = 23 × 431 × 2771

Prime Factorization of 95296

Prime factors of 95296 are 2, 1489. Prime factorization of 95296 in exponential form is:

95296 = 26 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 95288 and 95296.

LCM(95288,95296) = 26 × 431 × 2771 × 14891
LCM(95288,95296) = 1135070656