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What is the Least Common Multiple of 4551 and 4569?

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 4551 and 4569 is 6931173.

LCM(4551,4569) = 6931173

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Least Common Multiple of 4551 and 4569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4551 and 4569, than apply into the LCM equation.

GCF(4551,4569) = 3
LCM(4551,4569) = ( 4551 × 4569) / 3
LCM(4551,4569) = 20793519 / 3
LCM(4551,4569) = 6931173

Least Common Multiple (LCM) of 4551 and 4569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4551 and 4569. First we will calculate the prime factors of 4551 and 4569.

Prime Factorization of 4551

Prime factors of 4551 are 3, 37, 41. Prime factorization of 4551 in exponential form is:

4551 = 31 × 371 × 411

Prime Factorization of 4569

Prime factors of 4569 are 3, 1523. Prime factorization of 4569 in exponential form is:

4569 = 31 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 4551 and 4569.

LCM(4551,4569) = 31 × 371 × 411 × 15231
LCM(4551,4569) = 6931173