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What is the Least Common Multiple of 4533 and 4543?

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 4533 and 4543 is 20593419.

LCM(4533,4543) = 20593419

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Least Common Multiple of 4533 and 4543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4533 and 4543, than apply into the LCM equation.

GCF(4533,4543) = 1
LCM(4533,4543) = ( 4533 × 4543) / 1
LCM(4533,4543) = 20593419 / 1
LCM(4533,4543) = 20593419

Least Common Multiple (LCM) of 4533 and 4543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4533 and 4543. First we will calculate the prime factors of 4533 and 4543.

Prime Factorization of 4533

Prime factors of 4533 are 3, 1511. Prime factorization of 4533 in exponential form is:

4533 = 31 × 15111

Prime Factorization of 4543

Prime factors of 4543 are 7, 11, 59. Prime factorization of 4543 in exponential form is:

4543 = 71 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4533 and 4543.

LCM(4533,4543) = 31 × 15111 × 71 × 111 × 591
LCM(4533,4543) = 20593419