What is the Least Common Multiple of 4400 and 4408?

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 4400 and 4408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4400 and 4408, than apply into the LCM equation.

GCF(4400,4408) = 8
LCM(4400,4408) = ( 4400 × 4408) / 8
LCM(4400,4408) = 19395200 / 8
LCM(4400,4408) = 2424400

Least Common Multiple (LCM) of 4400 and 4408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4400 and 4408. First we will calculate the prime factors of 4400 and 4408.

Prime Factorization of 4400

Prime Factorization of 4408

Now multiplying the highest exponent prime factors to calculate the LCM of 4400 and 4408.

LCM(4400,4408) = 2⁴ × 5² × 11¹ × 19¹ × 29¹
LCM(4400,4408) = 2424400