What is the Least Common Multiple of 36992 and 37003?

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 36992 and 37003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36992 and 37003, than apply into the LCM equation.

GCF(36992,37003) = 1
LCM(36992,37003) = ( 36992 × 37003) / 1
LCM(36992,37003) = 1368814976 / 1
LCM(36992,37003) = 1368814976

Least Common Multiple (LCM) of 36992 and 37003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36992 and 37003. First we will calculate the prime factors of 36992 and 37003.

Prime Factorization of 36992

Prime Factorization of 37003

Now multiplying the highest exponent prime factors to calculate the LCM of 36992 and 37003.

LCM(36992,37003) = 2⁷ × 17² × 37003¹
LCM(36992,37003) = 1368814976