What is the Least Common Multiple of 15742 and 15754?

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 15742 and 15754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15742 and 15754, than apply into the LCM equation.

GCF(15742,15754) = 2
LCM(15742,15754) = ( 15742 × 15754) / 2
LCM(15742,15754) = 247999468 / 2
LCM(15742,15754) = 123999734

Least Common Multiple (LCM) of 15742 and 15754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15742 and 15754. First we will calculate the prime factors of 15742 and 15754.

Prime Factorization of 15742

Prime Factorization of 15754

Now multiplying the highest exponent prime factors to calculate the LCM of 15742 and 15754.

LCM(15742,15754) = 2¹ × 17¹ × 463¹ × 7877¹
LCM(15742,15754) = 123999734