What is the Least Common Multiple of 40752 and 40756?

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 40756 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 40756, than apply into the LCM equation.

GCF(40752,40756) = 4
LCM(40752,40756) = ( 40752 × 40756) / 4
LCM(40752,40756) = 1660888512 / 4
LCM(40752,40756) = 415222128

Least Common Multiple (LCM) of 40752 and 40756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40752 and 40756. First we will calculate the prime factors of 40752 and 40756.

Prime Factorization of 40752

Prime Factorization of 40756

Now multiplying the highest exponent prime factors to calculate the LCM of 40752 and 40756.

LCM(40752,40756) = 2⁴ × 3² × 283¹ × 23¹ × 443¹
LCM(40752,40756) = 415222128