What is the Least Common Multiple of 95264 and 95278?

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 95264 and 95278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95264 and 95278, than apply into the LCM equation.

GCF(95264,95278) = 2
LCM(95264,95278) = ( 95264 × 95278) / 2
LCM(95264,95278) = 9076563392 / 2
LCM(95264,95278) = 4538281696

Least Common Multiple (LCM) of 95264 and 95278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95264 and 95278. First we will calculate the prime factors of 95264 and 95278.

Prime Factorization of 95264

Prime Factorization of 95278

Now multiplying the highest exponent prime factors to calculate the LCM of 95264 and 95278.

LCM(95264,95278) = 2⁵ × 13¹ × 229¹ × 47639¹
LCM(95264,95278) = 4538281696