What is the Least Common Multiple of 41264 and 41271?

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 41264 and 41271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41264 and 41271, than apply into the LCM equation.

GCF(41264,41271) = 1
LCM(41264,41271) = ( 41264 × 41271) / 1
LCM(41264,41271) = 1703006544 / 1
LCM(41264,41271) = 1703006544

Least Common Multiple (LCM) of 41264 and 41271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41264 and 41271. First we will calculate the prime factors of 41264 and 41271.

Prime Factorization of 41264

Prime Factorization of 41271

Now multiplying the highest exponent prime factors to calculate the LCM of 41264 and 41271.

LCM(41264,41271) = 2⁴ × 2579¹ × 3¹ × 13757¹
LCM(41264,41271) = 1703006544