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What is the Least Common Multiple of 4568 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 4568 and 4578 is 10456152.

LCM(4568,4578) = 10456152

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Least Common Multiple of 4568 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 4568 and 4578, than apply into the LCM equation.

GCF(4568,4578) = 2
LCM(4568,4578) = ( 4568 × 4578) / 2
LCM(4568,4578) = 20912304 / 2
LCM(4568,4578) = 10456152

Least Common Multiple (LCM) of 4568 and 4578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4568 and 4578. First we will calculate the prime factors of 4568 and 4578.

Prime Factorization of 4568

Prime factors of 4568 are 2, 571. Prime factorization of 4568 in exponential form is:

4568 = 23 × 5711

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 4568 and 4578.

LCM(4568,4578) = 23 × 5711 × 31 × 71 × 1091
LCM(4568,4578) = 10456152