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What is the Least Common Multiple of 10543 and 10547?

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 10543 and 10547 is 111197021.

LCM(10543,10547) = 111197021

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Least Common Multiple of 10543 and 10547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10543 and 10547, than apply into the LCM equation.

GCF(10543,10547) = 1
LCM(10543,10547) = ( 10543 × 10547) / 1
LCM(10543,10547) = 111197021 / 1
LCM(10543,10547) = 111197021

Least Common Multiple (LCM) of 10543 and 10547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10543 and 10547. First we will calculate the prime factors of 10543 and 10547.

Prime Factorization of 10543

Prime factors of 10543 are 13, 811. Prime factorization of 10543 in exponential form is:

10543 = 131 × 8111

Prime Factorization of 10547

Prime factors of 10547 are 53, 199. Prime factorization of 10547 in exponential form is:

10547 = 531 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 10543 and 10547.

LCM(10543,10547) = 131 × 8111 × 531 × 1991
LCM(10543,10547) = 111197021