What is the Least Common Multiple of 15374 and 15384?

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 15384 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 15384, than apply into the LCM equation.

GCF(15374,15384) = 2
LCM(15374,15384) = ( 15374 × 15384) / 2
LCM(15374,15384) = 236513616 / 2
LCM(15374,15384) = 118256808

Least Common Multiple (LCM) of 15374 and 15384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15374 and 15384. First we will calculate the prime factors of 15374 and 15384.

Prime Factorization of 15374

Prime Factorization of 15384

Now multiplying the highest exponent prime factors to calculate the LCM of 15374 and 15384.

LCM(15374,15384) = 2³ × 7687¹ × 3¹ × 641¹
LCM(15374,15384) = 118256808