What is the Least Common Multiple of 41500 and 41512?

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 41500 and 41512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41500 and 41512, than apply into the LCM equation.

GCF(41500,41512) = 4
LCM(41500,41512) = ( 41500 × 41512) / 4
LCM(41500,41512) = 1722748000 / 4
LCM(41500,41512) = 430687000

Least Common Multiple (LCM) of 41500 and 41512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41500 and 41512. First we will calculate the prime factors of 41500 and 41512.

Prime Factorization of 41500

Prime Factorization of 41512

Now multiplying the highest exponent prime factors to calculate the LCM of 41500 and 41512.

LCM(41500,41512) = 2³ × 5³ × 83¹ × 5189¹
LCM(41500,41512) = 430687000