What is the Least Common Multiple of 15728 and 15736?

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 15728 and 15736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15728 and 15736, than apply into the LCM equation.

GCF(15728,15736) = 8
LCM(15728,15736) = ( 15728 × 15736) / 8
LCM(15728,15736) = 247495808 / 8
LCM(15728,15736) = 30936976

Least Common Multiple (LCM) of 15728 and 15736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15728 and 15736. First we will calculate the prime factors of 15728 and 15736.

Prime Factorization of 15728

Prime Factorization of 15736

Now multiplying the highest exponent prime factors to calculate the LCM of 15728 and 15736.

LCM(15728,15736) = 2⁴ × 983¹ × 7¹ × 281¹
LCM(15728,15736) = 30936976