What is the Least Common Multiple of 40752 and 40764?

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 40752 and 40764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40752 and 40764, than apply into the LCM equation.

GCF(40752,40764) = 12
LCM(40752,40764) = ( 40752 × 40764) / 12
LCM(40752,40764) = 1661214528 / 12
LCM(40752,40764) = 138434544

Least Common Multiple (LCM) of 40752 and 40764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40752 and 40764. First we will calculate the prime factors of 40752 and 40764.

Prime Factorization of 40752

Prime Factorization of 40764

Now multiplying the highest exponent prime factors to calculate the LCM of 40752 and 40764.

LCM(40752,40764) = 2⁴ × 3² × 283¹ × 43¹ × 79¹
LCM(40752,40764) = 138434544