What is the Least Common Multiple of 40524 and 40536?

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 40536 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 40536, than apply into the LCM equation.

GCF(40524,40536) = 12
LCM(40524,40536) = ( 40524 × 40536) / 12
LCM(40524,40536) = 1642680864 / 12
LCM(40524,40536) = 136890072

Least Common Multiple (LCM) of 40524 and 40536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40524 and 40536. First we will calculate the prime factors of 40524 and 40536.

Prime Factorization of 40524

Prime Factorization of 40536

Now multiplying the highest exponent prime factors to calculate the LCM of 40524 and 40536.

LCM(40524,40536) = 2³ × 3² × 11¹ × 307¹ × 563¹
LCM(40524,40536) = 136890072