What is the Least Common Multiple of 37004 and 37018?

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 37004 and 37018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37004 and 37018, than apply into the LCM equation.

GCF(37004,37018) = 2
LCM(37004,37018) = ( 37004 × 37018) / 2
LCM(37004,37018) = 1369814072 / 2
LCM(37004,37018) = 684907036

Least Common Multiple (LCM) of 37004 and 37018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37004 and 37018. First we will calculate the prime factors of 37004 and 37018.

Prime Factorization of 37004

Prime Factorization of 37018

Now multiplying the highest exponent prime factors to calculate the LCM of 37004 and 37018.

LCM(37004,37018) = 2² × 11¹ × 29² × 83¹ × 223¹
LCM(37004,37018) = 684907036