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What is the Least Common Multiple of 4569 and 4578?

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 4569 and 4578 is 6972294.

LCM(4569,4578) = 6972294

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Least Common Multiple of 4569 and 4578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4569 and 4578, than apply into the LCM equation.

GCF(4569,4578) = 3
LCM(4569,4578) = ( 4569 × 4578) / 3
LCM(4569,4578) = 20916882 / 3
LCM(4569,4578) = 6972294

Least Common Multiple (LCM) of 4569 and 4578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4569 and 4578. First we will calculate the prime factors of 4569 and 4578.

Prime Factorization of 4569

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

4569 = 31 × 15231

Prime Factorization of 4578

Prime factors of 4578 are 2, 3, 7, 109. Prime factorization of 4578 in exponential form is:

4578 = 21 × 31 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4569 and 4578.

LCM(4569,4578) = 31 × 15231 × 21 × 71 × 1091
LCM(4569,4578) = 6972294