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What is the Least Common Multiple of 4398 and 4404?

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 (LCM) of 4398 and 4404 is 3228132.

LCM(4398,4404) = 3228132

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Least Common Multiple of 4398 and 4404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4398 and 4404, than apply into the LCM equation.

GCF(4398,4404) = 6
LCM(4398,4404) = ( 4398 × 4404) / 6
LCM(4398,4404) = 19368792 / 6
LCM(4398,4404) = 3228132

Least Common Multiple (LCM) of 4398 and 4404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4398 and 4404. First we will calculate the prime factors of 4398 and 4404.

Prime Factorization of 4398

Prime factors of 4398 are 2, 3, 733. Prime factorization of 4398 in exponential form is:

4398 = 21 × 31 × 7331

Prime Factorization of 4404

Prime factors of 4404 are 2, 3, 367. Prime factorization of 4404 in exponential form is:

4404 = 22 × 31 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4398 and 4404.

LCM(4398,4404) = 22 × 31 × 7331 × 3671
LCM(4398,4404) = 3228132