What is the Least Common Multiple of 40752 and 40759?

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 40759 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 40759, than apply into the LCM equation.

GCF(40752,40759) = 1
LCM(40752,40759) = ( 40752 × 40759) / 1
LCM(40752,40759) = 1661010768 / 1
LCM(40752,40759) = 1661010768

Least Common Multiple (LCM) of 40752 and 40759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40752 and 40759. First we will calculate the prime factors of 40752 and 40759.

Prime Factorization of 40752

Prime Factorization of 40759

Now multiplying the highest exponent prime factors to calculate the LCM of 40752 and 40759.

LCM(40752,40759) = 2⁴ × 3² × 283¹ × 40759¹
LCM(40752,40759) = 1661010768