What is the Least Common Multiple of 37086 and 37104?

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 37104 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 37104, than apply into the LCM equation.

GCF(37086,37104) = 6
LCM(37086,37104) = ( 37086 × 37104) / 6
LCM(37086,37104) = 1376038944 / 6
LCM(37086,37104) = 229339824

Least Common Multiple (LCM) of 37086 and 37104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37086 and 37104. First we will calculate the prime factors of 37086 and 37104.

Prime Factorization of 37086

Prime Factorization of 37104

Now multiplying the highest exponent prime factors to calculate the LCM of 37086 and 37104.

LCM(37086,37104) = 2⁴ × 3¹ × 7¹ × 883¹ × 773¹
LCM(37086,37104) = 229339824