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What is the Least Common Multiple of 4555 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 4555 and 4569 is 20811795.

LCM(4555,4569) = 20811795

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Least Common Multiple of 4555 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 4555 and 4569, than apply into the LCM equation.

GCF(4555,4569) = 1
LCM(4555,4569) = ( 4555 × 4569) / 1
LCM(4555,4569) = 20811795 / 1
LCM(4555,4569) = 20811795

Least Common Multiple (LCM) of 4555 and 4569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4555 and 4569. First we will calculate the prime factors of 4555 and 4569.

Prime Factorization of 4555

Prime factors of 4555 are 5, 911. Prime factorization of 4555 in exponential form is:

4555 = 51 × 9111

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 4555 and 4569.

LCM(4555,4569) = 51 × 9111 × 31 × 15231
LCM(4555,4569) = 20811795