What is the Least Common Multiple of 37724 and 37728?

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 37724 and 37728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37724 and 37728, than apply into the LCM equation.

GCF(37724,37728) = 4
LCM(37724,37728) = ( 37724 × 37728) / 4
LCM(37724,37728) = 1423251072 / 4
LCM(37724,37728) = 355812768

Least Common Multiple (LCM) of 37724 and 37728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37724 and 37728. First we will calculate the prime factors of 37724 and 37728.

Prime Factorization of 37724

Prime Factorization of 37728

Now multiplying the highest exponent prime factors to calculate the LCM of 37724 and 37728.

LCM(37724,37728) = 2⁵ × 9431¹ × 3² × 131¹
LCM(37724,37728) = 355812768