What is the Least Common Multiple of 4408 and 4421?

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 4421 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 4421, than apply into the LCM equation.

GCF(4408,4421) = 1
LCM(4408,4421) = ( 4408 × 4421) / 1
LCM(4408,4421) = 19487768 / 1
LCM(4408,4421) = 19487768

Least Common Multiple (LCM) of 4408 and 4421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4408 and 4421. First we will calculate the prime factors of 4408 and 4421.

Prime Factorization of 4408

Prime Factorization of 4421

Now multiplying the highest exponent prime factors to calculate the LCM of 4408 and 4421.

LCM(4408,4421) = 2³ × 19¹ × 29¹ × 4421¹
LCM(4408,4421) = 19487768