What is the Least Common Multiple of 15742 and 15749?

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 15749 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 15749, than apply into the LCM equation.

GCF(15742,15749) = 1
LCM(15742,15749) = ( 15742 × 15749) / 1
LCM(15742,15749) = 247920758 / 1
LCM(15742,15749) = 247920758

Least Common Multiple (LCM) of 15742 and 15749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15742 and 15749. First we will calculate the prime factors of 15742 and 15749.

Prime Factorization of 15742

Prime Factorization of 15749

Now multiplying the highest exponent prime factors to calculate the LCM of 15742 and 15749.

LCM(15742,15749) = 2¹ × 17¹ × 463¹ × 15749¹
LCM(15742,15749) = 247920758