What is the Least Common Multiple of 95312 and 95320?

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 95312 and 95320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95312 and 95320, than apply into the LCM equation.

GCF(95312,95320) = 8
LCM(95312,95320) = ( 95312 × 95320) / 8
LCM(95312,95320) = 9085139840 / 8
LCM(95312,95320) = 1135642480

Least Common Multiple (LCM) of 95312 and 95320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95312 and 95320. First we will calculate the prime factors of 95312 and 95320.

Prime Factorization of 95312

Prime Factorization of 95320

Now multiplying the highest exponent prime factors to calculate the LCM of 95312 and 95320.

LCM(95312,95320) = 2⁴ × 7¹ × 23¹ × 37¹ × 5¹ × 2383¹
LCM(95312,95320) = 1135642480