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What is the Least Common Multiple of 10543 and 10562?

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 10562 is 111355166.

LCM(10543,10562) = 111355166

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Least Common Multiple of 10543 and 10562 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 10562, than apply into the LCM equation.

GCF(10543,10562) = 1
LCM(10543,10562) = ( 10543 × 10562) / 1
LCM(10543,10562) = 111355166 / 1
LCM(10543,10562) = 111355166

Least Common Multiple (LCM) of 10543 and 10562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10543 and 10562. First we will calculate the prime factors of 10543 and 10562.

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 10562

Prime factors of 10562 are 2, 5281. Prime factorization of 10562 in exponential form is:

10562 = 21 × 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 10543 and 10562.

LCM(10543,10562) = 131 × 8111 × 21 × 52811
LCM(10543,10562) = 111355166