What is the Least Common Multiple of 40512 and 40524?

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 40512 and 40524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40512 and 40524, than apply into the LCM equation.

GCF(40512,40524) = 12
LCM(40512,40524) = ( 40512 × 40524) / 12
LCM(40512,40524) = 1641708288 / 12
LCM(40512,40524) = 136809024

Least Common Multiple (LCM) of 40512 and 40524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40512 and 40524. First we will calculate the prime factors of 40512 and 40524.

Prime Factorization of 40512

Prime Factorization of 40524

Now multiplying the highest exponent prime factors to calculate the LCM of 40512 and 40524.

LCM(40512,40524) = 2⁶ × 3¹ × 211¹ × 11¹ × 307¹
LCM(40512,40524) = 136809024