What is the Least Common Multiple of 95232 and 95248?

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 of 95232 and 95248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95232 and 95248, than apply into the LCM equation.

GCF(95232,95248) = 16
LCM(95232,95248) = ( 95232 × 95248) / 16
LCM(95232,95248) = 9070657536 / 16
LCM(95232,95248) = 566916096

Least Common Multiple (LCM) of 95232 and 95248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95232 and 95248. First we will calculate the prime factors of 95232 and 95248.

Prime Factorization of 95232

Prime Factorization of 95248

Now multiplying the highest exponent prime factors to calculate the LCM of 95232 and 95248.

LCM(95232,95248) = 2¹⁰ × 3¹ × 31¹ × 5953¹
LCM(95232,95248) = 566916096