What is the Least Common Multiple of 37086 and 37100?

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 37086 and 37100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37086 and 37100, than apply into the LCM equation.

GCF(37086,37100) = 14
LCM(37086,37100) = ( 37086 × 37100) / 14
LCM(37086,37100) = 1375890600 / 14
LCM(37086,37100) = 98277900

Least Common Multiple (LCM) of 37086 and 37100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37086 and 37100. First we will calculate the prime factors of 37086 and 37100.

Prime Factorization of 37086

Prime Factorization of 37100

Now multiplying the highest exponent prime factors to calculate the LCM of 37086 and 37100.

LCM(37086,37100) = 2² × 3¹ × 7¹ × 883¹ × 5² × 53¹
LCM(37086,37100) = 98277900