What is the Least Common Multiple of 15384 and 15392?

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 15384 and 15392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15384 and 15392, than apply into the LCM equation.

GCF(15384,15392) = 8
LCM(15384,15392) = ( 15384 × 15392) / 8
LCM(15384,15392) = 236790528 / 8
LCM(15384,15392) = 29598816

Least Common Multiple (LCM) of 15384 and 15392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15384 and 15392. First we will calculate the prime factors of 15384 and 15392.

Prime Factorization of 15384

Prime Factorization of 15392

Now multiplying the highest exponent prime factors to calculate the LCM of 15384 and 15392.

LCM(15384,15392) = 2⁵ × 3¹ × 641¹ × 13¹ × 37¹
LCM(15384,15392) = 29598816