What is the Least Common Multiple of 4398 and 4412?

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 4398 and 4412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4398 and 4412, than apply into the LCM equation.

GCF(4398,4412) = 2
LCM(4398,4412) = ( 4398 × 4412) / 2
LCM(4398,4412) = 19403976 / 2
LCM(4398,4412) = 9701988

Least Common Multiple (LCM) of 4398 and 4412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4398 and 4412. First we will calculate the prime factors of 4398 and 4412.

Prime Factorization of 4398

Prime Factorization of 4412

Now multiplying the highest exponent prime factors to calculate the LCM of 4398 and 4412.

LCM(4398,4412) = 2² × 3¹ × 733¹ × 1103¹
LCM(4398,4412) = 9701988