What is the Least Common Multiple of 43746 and 43752?

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 43746 and 43752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43746 and 43752, than apply into the LCM equation.

GCF(43746,43752) = 6
LCM(43746,43752) = ( 43746 × 43752) / 6
LCM(43746,43752) = 1913974992 / 6
LCM(43746,43752) = 318995832

Least Common Multiple (LCM) of 43746 and 43752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43746 and 43752. First we will calculate the prime factors of 43746 and 43752.

Prime Factorization of 43746

Prime Factorization of 43752

Now multiplying the highest exponent prime factors to calculate the LCM of 43746 and 43752.

LCM(43746,43752) = 2³ × 3¹ × 23¹ × 317¹ × 1823¹
LCM(43746,43752) = 318995832