What is the Least Common Multiple of 38595 and 38604?

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 38595 and 38604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38595 and 38604, than apply into the LCM equation.

GCF(38595,38604) = 3
LCM(38595,38604) = ( 38595 × 38604) / 3
LCM(38595,38604) = 1489921380 / 3
LCM(38595,38604) = 496640460

Least Common Multiple (LCM) of 38595 and 38604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38595 and 38604. First we will calculate the prime factors of 38595 and 38604.

Prime Factorization of 38595

Prime Factorization of 38604

Now multiplying the highest exponent prime factors to calculate the LCM of 38595 and 38604.

LCM(38595,38604) = 3¹ × 5¹ × 31¹ × 83¹ × 2² × 3217¹
LCM(38595,38604) = 496640460