What is the Least Common Multiple of 4400 and 4419?

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 4419 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 4419, than apply into the LCM equation.

GCF(4400,4419) = 1
LCM(4400,4419) = ( 4400 × 4419) / 1
LCM(4400,4419) = 19443600 / 1
LCM(4400,4419) = 19443600

Least Common Multiple (LCM) of 4400 and 4419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4400 and 4419. First we will calculate the prime factors of 4400 and 4419.

Prime Factorization of 4400

Prime Factorization of 4419

Now multiplying the highest exponent prime factors to calculate the LCM of 4400 and 4419.

LCM(4400,4419) = 2⁴ × 5² × 11¹ × 3² × 491¹
LCM(4400,4419) = 19443600