What is the Least Common Multiple of 30381 and 30390?

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 30381 and 30390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30381 and 30390, than apply into the LCM equation.

GCF(30381,30390) = 3
LCM(30381,30390) = ( 30381 × 30390) / 3
LCM(30381,30390) = 923278590 / 3
LCM(30381,30390) = 307759530

Least Common Multiple (LCM) of 30381 and 30390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30381 and 30390. First we will calculate the prime factors of 30381 and 30390.

Prime Factorization of 30381

Prime Factorization of 30390

Now multiplying the highest exponent prime factors to calculate the LCM of 30381 and 30390.

LCM(30381,30390) = 3¹ × 13¹ × 19¹ × 41¹ × 2¹ × 5¹ × 1013¹
LCM(30381,30390) = 307759530