What is the Least Common Multiple of 15374 and 15381?

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 15374 and 15381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15374 and 15381, than apply into the LCM equation.

GCF(15374,15381) = 1
LCM(15374,15381) = ( 15374 × 15381) / 1
LCM(15374,15381) = 236467494 / 1
LCM(15374,15381) = 236467494

Least Common Multiple (LCM) of 15374 and 15381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15374 and 15381. First we will calculate the prime factors of 15374 and 15381.

Prime Factorization of 15374

Prime Factorization of 15381

Now multiplying the highest exponent prime factors to calculate the LCM of 15374 and 15381.

LCM(15374,15381) = 2¹ × 7687¹ × 3² × 1709¹
LCM(15374,15381) = 236467494