What is the Least Common Multiple of 56742 and 56751?

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 56742 and 56751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56742 and 56751, than apply into the LCM equation.

GCF(56742,56751) = 3
LCM(56742,56751) = ( 56742 × 56751) / 3
LCM(56742,56751) = 3220165242 / 3
LCM(56742,56751) = 1073388414

Least Common Multiple (LCM) of 56742 and 56751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56742 and 56751. First we will calculate the prime factors of 56742 and 56751.

Prime Factorization of 56742

Prime Factorization of 56751

Now multiplying the highest exponent prime factors to calculate the LCM of 56742 and 56751.

LCM(56742,56751) = 2¹ × 3¹ × 7² × 193¹ × 18917¹
LCM(56742,56751) = 1073388414