What is the Least Common Multiple of 37720 and 37724?

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 37720 and 37724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37720 and 37724, than apply into the LCM equation.

GCF(37720,37724) = 4
LCM(37720,37724) = ( 37720 × 37724) / 4
LCM(37720,37724) = 1422949280 / 4
LCM(37720,37724) = 355737320

Least Common Multiple (LCM) of 37720 and 37724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37720 and 37724. First we will calculate the prime factors of 37720 and 37724.

Prime Factorization of 37720

Prime Factorization of 37724

Now multiplying the highest exponent prime factors to calculate the LCM of 37720 and 37724.

LCM(37720,37724) = 2³ × 5¹ × 23¹ × 41¹ × 9431¹
LCM(37720,37724) = 355737320