What is the Least Common Multiple of 15724 and 15742?

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 15724 and 15742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15724 and 15742, than apply into the LCM equation.

GCF(15724,15742) = 2
LCM(15724,15742) = ( 15724 × 15742) / 2
LCM(15724,15742) = 247527208 / 2
LCM(15724,15742) = 123763604

Least Common Multiple (LCM) of 15724 and 15742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15724 and 15742. First we will calculate the prime factors of 15724 and 15742.

Prime Factorization of 15724

Prime Factorization of 15742

Now multiplying the highest exponent prime factors to calculate the LCM of 15724 and 15742.

LCM(15724,15742) = 2² × 3931¹ × 17¹ × 463¹
LCM(15724,15742) = 123763604