What is the Least Common Multiple of 41250 and 41264?

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 41250 and 41264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41250 and 41264, than apply into the LCM equation.

GCF(41250,41264) = 2
LCM(41250,41264) = ( 41250 × 41264) / 2
LCM(41250,41264) = 1702140000 / 2
LCM(41250,41264) = 851070000

Least Common Multiple (LCM) of 41250 and 41264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41250 and 41264. First we will calculate the prime factors of 41250 and 41264.

Prime Factorization of 41250

Prime Factorization of 41264

Now multiplying the highest exponent prime factors to calculate the LCM of 41250 and 41264.

LCM(41250,41264) = 2⁴ × 3¹ × 5⁴ × 11¹ × 2579¹
LCM(41250,41264) = 851070000