What is the Least Common Multiple of 4408 and 4426?

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 4408 and 4426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4408 and 4426, than apply into the LCM equation.

GCF(4408,4426) = 2
LCM(4408,4426) = ( 4408 × 4426) / 2
LCM(4408,4426) = 19509808 / 2
LCM(4408,4426) = 9754904

Least Common Multiple (LCM) of 4408 and 4426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4408 and 4426. First we will calculate the prime factors of 4408 and 4426.

Prime Factorization of 4408

Prime Factorization of 4426

Now multiplying the highest exponent prime factors to calculate the LCM of 4408 and 4426.

LCM(4408,4426) = 2³ × 19¹ × 29¹ × 2213¹
LCM(4408,4426) = 9754904