What is the Least Common Multiple of 37909 and 37923?

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 37909 and 37923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37909 and 37923, than apply into the LCM equation.

GCF(37909,37923) = 1
LCM(37909,37923) = ( 37909 × 37923) / 1
LCM(37909,37923) = 1437623007 / 1
LCM(37909,37923) = 1437623007

Least Common Multiple (LCM) of 37909 and 37923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37909 and 37923. First we will calculate the prime factors of 37909 and 37923.

Prime Factorization of 37909

Prime Factorization of 37923

Now multiplying the highest exponent prime factors to calculate the LCM of 37909 and 37923.

LCM(37909,37923) = 167¹ × 227¹ × 3¹ × 12641¹
LCM(37909,37923) = 1437623007