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What is the Least Common Multiple of 4409 and 4428?

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 4409 and 4428 is 19523052.

LCM(4409,4428) = 19523052

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Least Common Multiple of 4409 and 4428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4409 and 4428, than apply into the LCM equation.

GCF(4409,4428) = 1
LCM(4409,4428) = ( 4409 × 4428) / 1
LCM(4409,4428) = 19523052 / 1
LCM(4409,4428) = 19523052

Least Common Multiple (LCM) of 4409 and 4428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4409 and 4428. First we will calculate the prime factors of 4409 and 4428.

Prime Factorization of 4409

Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:

4409 = 44091

Prime Factorization of 4428

Prime factors of 4428 are 2, 3, 41. Prime factorization of 4428 in exponential form is:

4428 = 22 × 33 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4409 and 4428.

LCM(4409,4428) = 44091 × 22 × 33 × 411
LCM(4409,4428) = 19523052