What is the Least Common Multiple of 40524 and 40538?

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 40524 and 40538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40524 and 40538, than apply into the LCM equation.

GCF(40524,40538) = 2
LCM(40524,40538) = ( 40524 × 40538) / 2
LCM(40524,40538) = 1642761912 / 2
LCM(40524,40538) = 821380956

Least Common Multiple (LCM) of 40524 and 40538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40524 and 40538. First we will calculate the prime factors of 40524 and 40538.

Prime Factorization of 40524

Prime Factorization of 40538

Now multiplying the highest exponent prime factors to calculate the LCM of 40524 and 40538.

LCM(40524,40538) = 2² × 3¹ × 11¹ × 307¹ × 20269¹
LCM(40524,40538) = 821380956