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What is the Least Common Multiple of 4440 and 4456?

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 4440 and 4456 is 2473080.

LCM(4440,4456) = 2473080

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Least Common Multiple of 4440 and 4456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4440 and 4456, than apply into the LCM equation.

GCF(4440,4456) = 8
LCM(4440,4456) = ( 4440 × 4456) / 8
LCM(4440,4456) = 19784640 / 8
LCM(4440,4456) = 2473080

Least Common Multiple (LCM) of 4440 and 4456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4440 and 4456. First we will calculate the prime factors of 4440 and 4456.

Prime Factorization of 4440

Prime factors of 4440 are 2, 3, 5, 37. Prime factorization of 4440 in exponential form is:

4440 = 23 × 31 × 51 × 371

Prime Factorization of 4456

Prime factors of 4456 are 2, 557. Prime factorization of 4456 in exponential form is:

4456 = 23 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 4440 and 4456.

LCM(4440,4456) = 23 × 31 × 51 × 371 × 5571
LCM(4440,4456) = 2473080