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What is the Least Common Multiple of 4464 and 4484?

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 4464 and 4484 is 5004144.

LCM(4464,4484) = 5004144

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Least Common Multiple of 4464 and 4484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4464 and 4484, than apply into the LCM equation.

GCF(4464,4484) = 4
LCM(4464,4484) = ( 4464 × 4484) / 4
LCM(4464,4484) = 20016576 / 4
LCM(4464,4484) = 5004144

Least Common Multiple (LCM) of 4464 and 4484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4464 and 4484. First we will calculate the prime factors of 4464 and 4484.

Prime Factorization of 4464

Prime factors of 4464 are 2, 3, 31. Prime factorization of 4464 in exponential form is:

4464 = 24 × 32 × 311

Prime Factorization of 4484

Prime factors of 4484 are 2, 19, 59. Prime factorization of 4484 in exponential form is:

4484 = 22 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4464 and 4484.

LCM(4464,4484) = 24 × 32 × 311 × 191 × 591
LCM(4464,4484) = 5004144