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What is the Least Common Multiple of 10543 and 10561?

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 10561 is 111344623.

LCM(10543,10561) = 111344623

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Least Common Multiple of 10543 and 10561 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 10561, than apply into the LCM equation.

GCF(10543,10561) = 1
LCM(10543,10561) = ( 10543 × 10561) / 1
LCM(10543,10561) = 111344623 / 1
LCM(10543,10561) = 111344623

Least Common Multiple (LCM) of 10543 and 10561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10543 and 10561. First we will calculate the prime factors of 10543 and 10561.

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 10561

Prime factors of 10561 are 59, 179. Prime factorization of 10561 in exponential form is:

10561 = 591 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 10543 and 10561.

LCM(10543,10561) = 131 × 8111 × 591 × 1791
LCM(10543,10561) = 111344623