What is the Least Common Multiple of 95264 and 95277?

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 95277 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 95277, than apply into the LCM equation.

GCF(95264,95277) = 13
LCM(95264,95277) = ( 95264 × 95277) / 13
LCM(95264,95277) = 9076468128 / 13
LCM(95264,95277) = 698189856

Least Common Multiple (LCM) of 95264 and 95277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95264 and 95277. First we will calculate the prime factors of 95264 and 95277.

Prime Factorization of 95264

Prime Factorization of 95277

Now multiplying the highest exponent prime factors to calculate the LCM of 95264 and 95277.

LCM(95264,95277) = 2⁵ × 13¹ × 229¹ × 3¹ × 7¹ × 349¹
LCM(95264,95277) = 698189856