What is the Least Common Multiple of 37945 and 37950?

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 37945 and 37950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37945 and 37950, than apply into the LCM equation.

GCF(37945,37950) = 5
LCM(37945,37950) = ( 37945 × 37950) / 5
LCM(37945,37950) = 1440012750 / 5
LCM(37945,37950) = 288002550

Least Common Multiple (LCM) of 37945 and 37950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37945 and 37950. First we will calculate the prime factors of 37945 and 37950.

Prime Factorization of 37945

Prime Factorization of 37950

Now multiplying the highest exponent prime factors to calculate the LCM of 37945 and 37950.

LCM(37945,37950) = 5² × 7589¹ × 2¹ × 3¹ × 11¹ × 23¹
LCM(37945,37950) = 288002550