What is the Least Common Multiple of 37123 and 37140?

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 37123 and 37140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37123 and 37140, than apply into the LCM equation.

GCF(37123,37140) = 1
LCM(37123,37140) = ( 37123 × 37140) / 1
LCM(37123,37140) = 1378748220 / 1
LCM(37123,37140) = 1378748220

Least Common Multiple (LCM) of 37123 and 37140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37123 and 37140. First we will calculate the prime factors of 37123 and 37140.

Prime Factorization of 37123

Prime Factorization of 37140

Now multiplying the highest exponent prime factors to calculate the LCM of 37123 and 37140.

LCM(37123,37140) = 37123¹ × 2² × 3¹ × 5¹ × 619¹
LCM(37123,37140) = 1378748220