What is the Least Common Multiple of 37307 and 37323?

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 37307 and 37323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37307 and 37323, than apply into the LCM equation.

GCF(37307,37323) = 1
LCM(37307,37323) = ( 37307 × 37323) / 1
LCM(37307,37323) = 1392409161 / 1
LCM(37307,37323) = 1392409161

Least Common Multiple (LCM) of 37307 and 37323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37307 and 37323. First we will calculate the prime factors of 37307 and 37323.

Prime Factorization of 37307

Prime Factorization of 37323

Now multiplying the highest exponent prime factors to calculate the LCM of 37307 and 37323.

LCM(37307,37323) = 37307¹ × 3² × 11¹ × 13¹ × 29¹
LCM(37307,37323) = 1392409161