What is the Least Common Multiple of 4400 and 4414?

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 4414 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 4414, than apply into the LCM equation.

GCF(4400,4414) = 2
LCM(4400,4414) = ( 4400 × 4414) / 2
LCM(4400,4414) = 19421600 / 2
LCM(4400,4414) = 9710800

Least Common Multiple (LCM) of 4400 and 4414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4400 and 4414. First we will calculate the prime factors of 4400 and 4414.

Prime Factorization of 4400

Prime Factorization of 4414

Now multiplying the highest exponent prime factors to calculate the LCM of 4400 and 4414.

LCM(4400,4414) = 2⁴ × 5² × 11¹ × 2207¹
LCM(4400,4414) = 9710800