What is the Least Common Multiple of 37728 and 37743?

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 37728 and 37743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37728 and 37743, than apply into the LCM equation.

GCF(37728,37743) = 3
LCM(37728,37743) = ( 37728 × 37743) / 3
LCM(37728,37743) = 1423967904 / 3
LCM(37728,37743) = 474655968

Least Common Multiple (LCM) of 37728 and 37743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37728 and 37743. First we will calculate the prime factors of 37728 and 37743.

Prime Factorization of 37728

Prime Factorization of 37743

Now multiplying the highest exponent prime factors to calculate the LCM of 37728 and 37743.

LCM(37728,37743) = 2⁵ × 3² × 131¹ × 23¹ × 547¹
LCM(37728,37743) = 474655968