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What is the Least Common Multiple of 4472 and 4481?

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 4481 is 20039032.

LCM(4472,4481) = 20039032

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Least Common Multiple of 4472 and 4481 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 4481, than apply into the LCM equation.

GCF(4472,4481) = 1
LCM(4472,4481) = ( 4472 × 4481) / 1
LCM(4472,4481) = 20039032 / 1
LCM(4472,4481) = 20039032

Least Common Multiple (LCM) of 4472 and 4481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4472 and 4481. First we will calculate the prime factors of 4472 and 4481.

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 4481

Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:

4481 = 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 4472 and 4481.

LCM(4472,4481) = 23 × 131 × 431 × 44811
LCM(4472,4481) = 20039032