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What is the Least Common Multiple of 4472 and 4483?

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 4472 and 4483 is 20047976.

LCM(4472,4483) = 20047976

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Least Common Multiple of 4472 and 4483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4472 and 4483, than apply into the LCM equation.

GCF(4472,4483) = 1
LCM(4472,4483) = ( 4472 × 4483) / 1
LCM(4472,4483) = 20047976 / 1
LCM(4472,4483) = 20047976

Least Common Multiple (LCM) of 4472 and 4483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4472 and 4483. First we will calculate the prime factors of 4472 and 4483.

Prime Factorization of 4472

Prime factors of 4472 are 2, 13, 43. Prime factorization of 4472 in exponential form is:

4472 = 23 × 131 × 431

Prime Factorization of 4483

Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:

4483 = 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 4472 and 4483.

LCM(4472,4483) = 23 × 131 × 431 × 44831
LCM(4472,4483) = 20047976