What is the Least Common Multiple of 37731 and 37737?

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 37731 and 37737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37731 and 37737, than apply into the LCM equation.

GCF(37731,37737) = 3
LCM(37731,37737) = ( 37731 × 37737) / 3
LCM(37731,37737) = 1423854747 / 3
LCM(37731,37737) = 474618249

Least Common Multiple (LCM) of 37731 and 37737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37731 and 37737. First we will calculate the prime factors of 37731 and 37737.

Prime Factorization of 37731

Prime Factorization of 37737

Now multiplying the highest exponent prime factors to calculate the LCM of 37731 and 37737.

LCM(37731,37737) = 3² × 12577¹ × 7¹ × 599¹
LCM(37731,37737) = 474618249