What is the Least Common Multiple of 88742 and 88758?

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 88742 and 88758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88742 and 88758, than apply into the LCM equation.

GCF(88742,88758) = 2
LCM(88742,88758) = ( 88742 × 88758) / 2
LCM(88742,88758) = 7876562436 / 2
LCM(88742,88758) = 3938281218

Least Common Multiple (LCM) of 88742 and 88758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88742 and 88758. First we will calculate the prime factors of 88742 and 88758.

Prime Factorization of 88742

Prime Factorization of 88758

Now multiplying the highest exponent prime factors to calculate the LCM of 88742 and 88758.

LCM(88742,88758) = 2¹ × 44371¹ × 3² × 4931¹
LCM(88742,88758) = 3938281218