What is the Least Common Multiple of 43734 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 43734 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 43734 and 43752, than apply into the LCM equation.

GCF(43734,43752) = 6
LCM(43734,43752) = ( 43734 × 43752) / 6
LCM(43734,43752) = 1913449968 / 6
LCM(43734,43752) = 318908328

Least Common Multiple (LCM) of 43734 and 43752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43734 and 43752. First we will calculate the prime factors of 43734 and 43752.

Prime Factorization of 43734

Prime Factorization of 43752

Now multiplying the highest exponent prime factors to calculate the LCM of 43734 and 43752.

LCM(43734,43752) = 2³ × 3¹ × 37¹ × 197¹ × 1823¹
LCM(43734,43752) = 318908328