What is the Least Common Multiple of 38742 and 38751?

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 38742 and 38751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38742 and 38751, than apply into the LCM equation.

GCF(38742,38751) = 3
LCM(38742,38751) = ( 38742 × 38751) / 3
LCM(38742,38751) = 1501291242 / 3
LCM(38742,38751) = 500430414

Least Common Multiple (LCM) of 38742 and 38751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38742 and 38751. First we will calculate the prime factors of 38742 and 38751.

Prime Factorization of 38742

Prime Factorization of 38751

Now multiplying the highest exponent prime factors to calculate the LCM of 38742 and 38751.

LCM(38742,38751) = 2¹ × 3¹ × 11¹ × 587¹ × 12917¹
LCM(38742,38751) = 500430414