What is the Least Common Multiple of 37932 and 37937?

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 37932 and 37937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37932 and 37937, than apply into the LCM equation.

GCF(37932,37937) = 1
LCM(37932,37937) = ( 37932 × 37937) / 1
LCM(37932,37937) = 1439026284 / 1
LCM(37932,37937) = 1439026284

Least Common Multiple (LCM) of 37932 and 37937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37932 and 37937. First we will calculate the prime factors of 37932 and 37937.

Prime Factorization of 37932

Prime Factorization of 37937

Now multiplying the highest exponent prime factors to calculate the LCM of 37932 and 37937.

LCM(37932,37937) = 2² × 3¹ × 29¹ × 109¹ × 59¹ × 643¹
LCM(37932,37937) = 1439026284