What is the Least Common Multiple of 37125 and 37138?

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 37125 and 37138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37125 and 37138, than apply into the LCM equation.

GCF(37125,37138) = 1
LCM(37125,37138) = ( 37125 × 37138) / 1
LCM(37125,37138) = 1378748250 / 1
LCM(37125,37138) = 1378748250

Least Common Multiple (LCM) of 37125 and 37138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37125 and 37138. First we will calculate the prime factors of 37125 and 37138.

Prime Factorization of 37125

Prime Factorization of 37138

Now multiplying the highest exponent prime factors to calculate the LCM of 37125 and 37138.

LCM(37125,37138) = 3³ × 5³ × 11¹ × 2¹ × 31¹ × 599¹
LCM(37125,37138) = 1378748250