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What is the Least Common Multiple of 4543 and 4552?

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 4543 and 4552 is 20679736.

LCM(4543,4552) = 20679736

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Least Common Multiple of 4543 and 4552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4543 and 4552, than apply into the LCM equation.

GCF(4543,4552) = 1
LCM(4543,4552) = ( 4543 × 4552) / 1
LCM(4543,4552) = 20679736 / 1
LCM(4543,4552) = 20679736

Least Common Multiple (LCM) of 4543 and 4552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4543 and 4552. First we will calculate the prime factors of 4543 and 4552.

Prime Factorization of 4543

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

4543 = 71 × 111 × 591

Prime Factorization of 4552

Prime factors of 4552 are 2, 569. Prime factorization of 4552 in exponential form is:

4552 = 23 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 4543 and 4552.

LCM(4543,4552) = 71 × 111 × 591 × 23 × 5691
LCM(4543,4552) = 20679736