What is the Least Common Multiple of 8742 and 8752?

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 8742 and 8752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8742 and 8752, than apply into the LCM equation.

GCF(8742,8752) = 2
LCM(8742,8752) = ( 8742 × 8752) / 2
LCM(8742,8752) = 76509984 / 2
LCM(8742,8752) = 38254992

Least Common Multiple (LCM) of 8742 and 8752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8742 and 8752. First we will calculate the prime factors of 8742 and 8752.

Prime Factorization of 8742

Prime Factorization of 8752

Now multiplying the highest exponent prime factors to calculate the LCM of 8742 and 8752.

LCM(8742,8752) = 2⁴ × 3¹ × 31¹ × 47¹ × 547¹
LCM(8742,8752) = 38254992