What is the Least Common Multiple of 95304 and 95312?

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 95304 and 95312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95304 and 95312, than apply into the LCM equation.

GCF(95304,95312) = 8
LCM(95304,95312) = ( 95304 × 95312) / 8
LCM(95304,95312) = 9083614848 / 8
LCM(95304,95312) = 1135451856

Least Common Multiple (LCM) of 95304 and 95312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95304 and 95312. First we will calculate the prime factors of 95304 and 95312.

Prime Factorization of 95304

Prime Factorization of 95312

Now multiplying the highest exponent prime factors to calculate the LCM of 95304 and 95312.

LCM(95304,95312) = 2⁴ × 3¹ × 11¹ × 19² × 7¹ × 23¹ × 37¹
LCM(95304,95312) = 1135451856