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What is the Least Common Multiple of 4401 and 4406?

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 4401 and 4406 is 19390806.

LCM(4401,4406) = 19390806

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Least Common Multiple of 4401 and 4406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4401 and 4406, than apply into the LCM equation.

GCF(4401,4406) = 1
LCM(4401,4406) = ( 4401 × 4406) / 1
LCM(4401,4406) = 19390806 / 1
LCM(4401,4406) = 19390806

Least Common Multiple (LCM) of 4401 and 4406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4401 and 4406. First we will calculate the prime factors of 4401 and 4406.

Prime Factorization of 4401

Prime factors of 4401 are 3, 163. Prime factorization of 4401 in exponential form is:

4401 = 33 × 1631

Prime Factorization of 4406

Prime factors of 4406 are 2, 2203. Prime factorization of 4406 in exponential form is:

4406 = 21 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 4401 and 4406.

LCM(4401,4406) = 33 × 1631 × 21 × 22031
LCM(4401,4406) = 19390806