What is the Least Common Multiple of 37100 and 37118?

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 37100 and 37118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37100 and 37118, than apply into the LCM equation.

GCF(37100,37118) = 2
LCM(37100,37118) = ( 37100 × 37118) / 2
LCM(37100,37118) = 1377077800 / 2
LCM(37100,37118) = 688538900

Least Common Multiple (LCM) of 37100 and 37118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37100 and 37118. First we will calculate the prime factors of 37100 and 37118.

Prime Factorization of 37100

Prime Factorization of 37118

Now multiplying the highest exponent prime factors to calculate the LCM of 37100 and 37118.

LCM(37100,37118) = 2² × 5² × 7¹ × 53¹ × 67¹ × 277¹
LCM(37100,37118) = 688538900