What is the Least Common Multiple of 23742 and 23757?

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 23757 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 23757, than apply into the LCM equation.

GCF(23742,23757) = 3
LCM(23742,23757) = ( 23742 × 23757) / 3
LCM(23742,23757) = 564038694 / 3
LCM(23742,23757) = 188012898

Least Common Multiple (LCM) of 23742 and 23757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23742 and 23757. First we will calculate the prime factors of 23742 and 23757.

Prime Factorization of 23742

Prime Factorization of 23757

Now multiplying the highest exponent prime factors to calculate the LCM of 23742 and 23757.

LCM(23742,23757) = 2¹ × 3² × 1319¹ × 7919¹
LCM(23742,23757) = 188012898