What is the Least Common Multiple of 30375 and 30381?

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 30375 and 30381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30375 and 30381, than apply into the LCM equation.

GCF(30375,30381) = 3
LCM(30375,30381) = ( 30375 × 30381) / 3
LCM(30375,30381) = 922822875 / 3
LCM(30375,30381) = 307607625

Least Common Multiple (LCM) of 30375 and 30381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30375 and 30381. First we will calculate the prime factors of 30375 and 30381.

Prime Factorization of 30375

Prime Factorization of 30381

Now multiplying the highest exponent prime factors to calculate the LCM of 30375 and 30381.

LCM(30375,30381) = 3⁵ × 5³ × 13¹ × 19¹ × 41¹
LCM(30375,30381) = 307607625