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What is the Least Common Multiple of 4493 and 4512?

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 4493 and 4512 is 20272416.

LCM(4493,4512) = 20272416

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Least Common Multiple of 4493 and 4512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4493 and 4512, than apply into the LCM equation.

GCF(4493,4512) = 1
LCM(4493,4512) = ( 4493 × 4512) / 1
LCM(4493,4512) = 20272416 / 1
LCM(4493,4512) = 20272416

Least Common Multiple (LCM) of 4493 and 4512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4493 and 4512. First we will calculate the prime factors of 4493 and 4512.

Prime Factorization of 4493

Prime factors of 4493 are 4493. Prime factorization of 4493 in exponential form is:

4493 = 44931

Prime Factorization of 4512

Prime factors of 4512 are 2, 3, 47. Prime factorization of 4512 in exponential form is:

4512 = 25 × 31 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4493 and 4512.

LCM(4493,4512) = 44931 × 25 × 31 × 471
LCM(4493,4512) = 20272416