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What is the Least Common Multiple of 4554 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 4554 and 4569 is 6935742.

LCM(4554,4569) = 6935742

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Least Common Multiple of 4554 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 4554 and 4569, than apply into the LCM equation.

GCF(4554,4569) = 3
LCM(4554,4569) = ( 4554 × 4569) / 3
LCM(4554,4569) = 20807226 / 3
LCM(4554,4569) = 6935742

Least Common Multiple (LCM) of 4554 and 4569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4554 and 4569. First we will calculate the prime factors of 4554 and 4569.

Prime Factorization of 4554

Prime factors of 4554 are 2, 3, 11, 23. Prime factorization of 4554 in exponential form is:

4554 = 21 × 32 × 111 × 231

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 4554 and 4569.

LCM(4554,4569) = 21 × 32 × 111 × 231 × 15231
LCM(4554,4569) = 6935742