What is the Least Common Multiple of 15704 and 15724?

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 15704 and 15724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15704 and 15724, than apply into the LCM equation.

GCF(15704,15724) = 4
LCM(15704,15724) = ( 15704 × 15724) / 4
LCM(15704,15724) = 246929696 / 4
LCM(15704,15724) = 61732424

Least Common Multiple (LCM) of 15704 and 15724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15704 and 15724. First we will calculate the prime factors of 15704 and 15724.

Prime Factorization of 15704

Prime Factorization of 15724

Now multiplying the highest exponent prime factors to calculate the LCM of 15704 and 15724.

LCM(15704,15724) = 2³ × 13¹ × 151¹ × 3931¹
LCM(15704,15724) = 61732424