What is the Least Common Multiple of 95296 and 95304?

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 95296 and 95304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95296 and 95304, than apply into the LCM equation.

GCF(95296,95304) = 8
LCM(95296,95304) = ( 95296 × 95304) / 8
LCM(95296,95304) = 9082089984 / 8
LCM(95296,95304) = 1135261248

Least Common Multiple (LCM) of 95296 and 95304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95296 and 95304. First we will calculate the prime factors of 95296 and 95304.

Prime Factorization of 95296

Prime Factorization of 95304

Now multiplying the highest exponent prime factors to calculate the LCM of 95296 and 95304.

LCM(95296,95304) = 2⁶ × 1489¹ × 3¹ × 11¹ × 19²
LCM(95296,95304) = 1135261248