What is the Least Common Multiple of 37600 and 37610?

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 37600 and 37610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37600 and 37610, than apply into the LCM equation.

GCF(37600,37610) = 10
LCM(37600,37610) = ( 37600 × 37610) / 10
LCM(37600,37610) = 1414136000 / 10
LCM(37600,37610) = 141413600

Least Common Multiple (LCM) of 37600 and 37610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37600 and 37610. First we will calculate the prime factors of 37600 and 37610.

Prime Factorization of 37600

Prime Factorization of 37610

Now multiplying the highest exponent prime factors to calculate the LCM of 37600 and 37610.

LCM(37600,37610) = 2⁵ × 5² × 47¹ × 3761¹
LCM(37600,37610) = 141413600