What is the Least Common Multiple of 4404 and 4409?

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 4404 and 4409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4404 and 4409, than apply into the LCM equation.

GCF(4404,4409) = 1
LCM(4404,4409) = ( 4404 × 4409) / 1
LCM(4404,4409) = 19417236 / 1
LCM(4404,4409) = 19417236

Least Common Multiple (LCM) of 4404 and 4409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4409. First we will calculate the prime factors of 4404 and 4409.

Prime Factorization of 4404

Prime Factorization of 4409

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4409.

LCM(4404,4409) = 2² × 3¹ × 367¹ × 4409¹
LCM(4404,4409) = 19417236