What is the Least Common Multiple of 15712 and 15732?

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 15712 and 15732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15712 and 15732, than apply into the LCM equation.

GCF(15712,15732) = 4
LCM(15712,15732) = ( 15712 × 15732) / 4
LCM(15712,15732) = 247181184 / 4
LCM(15712,15732) = 61795296

Least Common Multiple (LCM) of 15712 and 15732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15712 and 15732. First we will calculate the prime factors of 15712 and 15732.

Prime Factorization of 15712

Prime Factorization of 15732

Now multiplying the highest exponent prime factors to calculate the LCM of 15712 and 15732.

LCM(15712,15732) = 2⁵ × 491¹ × 3² × 19¹ × 23¹
LCM(15712,15732) = 61795296