What is the Least Common Multiple of 38325 and 38340?

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 38325 and 38340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38325 and 38340, than apply into the LCM equation.

GCF(38325,38340) = 15
LCM(38325,38340) = ( 38325 × 38340) / 15
LCM(38325,38340) = 1469380500 / 15
LCM(38325,38340) = 97958700

Least Common Multiple (LCM) of 38325 and 38340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38325 and 38340. First we will calculate the prime factors of 38325 and 38340.

Prime Factorization of 38325

Prime Factorization of 38340

Now multiplying the highest exponent prime factors to calculate the LCM of 38325 and 38340.

LCM(38325,38340) = 3³ × 5² × 7¹ × 73¹ × 2² × 71¹
LCM(38325,38340) = 97958700