What is the Least Common Multiple of 23742 and 23759?

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 23742 and 23759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23742 and 23759, than apply into the LCM equation.

GCF(23742,23759) = 1
LCM(23742,23759) = ( 23742 × 23759) / 1
LCM(23742,23759) = 564086178 / 1
LCM(23742,23759) = 564086178

Least Common Multiple (LCM) of 23742 and 23759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23742 and 23759. First we will calculate the prime factors of 23742 and 23759.

Prime Factorization of 23742

Prime Factorization of 23759

Now multiplying the highest exponent prime factors to calculate the LCM of 23742 and 23759.

LCM(23742,23759) = 2¹ × 3² × 1319¹ × 23¹ × 1033¹
LCM(23742,23759) = 564086178