What is the Least Common Multiple of 38145 and 38160?

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 38145 and 38160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38145 and 38160, than apply into the LCM equation.

GCF(38145,38160) = 15
LCM(38145,38160) = ( 38145 × 38160) / 15
LCM(38145,38160) = 1455613200 / 15
LCM(38145,38160) = 97040880

Least Common Multiple (LCM) of 38145 and 38160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38145 and 38160. First we will calculate the prime factors of 38145 and 38160.

Prime Factorization of 38145

Prime Factorization of 38160

Now multiplying the highest exponent prime factors to calculate the LCM of 38145 and 38160.

LCM(38145,38160) = 3² × 5¹ × 2543¹ × 2⁴ × 53¹
LCM(38145,38160) = 97040880