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What is the Least Common Multiple of 4518 and 4529?

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 4518 and 4529 is 20462022.

LCM(4518,4529) = 20462022

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Least Common Multiple of 4518 and 4529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4518 and 4529, than apply into the LCM equation.

GCF(4518,4529) = 1
LCM(4518,4529) = ( 4518 × 4529) / 1
LCM(4518,4529) = 20462022 / 1
LCM(4518,4529) = 20462022

Least Common Multiple (LCM) of 4518 and 4529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4518 and 4529. First we will calculate the prime factors of 4518 and 4529.

Prime Factorization of 4518

Prime factors of 4518 are 2, 3, 251. Prime factorization of 4518 in exponential form is:

4518 = 21 × 32 × 2511

Prime Factorization of 4529

Prime factors of 4529 are 7, 647. Prime factorization of 4529 in exponential form is:

4529 = 71 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 4518 and 4529.

LCM(4518,4529) = 21 × 32 × 2511 × 71 × 6471
LCM(4518,4529) = 20462022