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What is the Least Common Multiple of 9543 and 9557?

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 9543 and 9557 is 91202451.

LCM(9543,9557) = 91202451

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Least Common Multiple of 9543 and 9557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9543 and 9557, than apply into the LCM equation.

GCF(9543,9557) = 1
LCM(9543,9557) = ( 9543 × 9557) / 1
LCM(9543,9557) = 91202451 / 1
LCM(9543,9557) = 91202451

Least Common Multiple (LCM) of 9543 and 9557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9543 and 9557. First we will calculate the prime factors of 9543 and 9557.

Prime Factorization of 9543

Prime factors of 9543 are 3, 3181. Prime factorization of 9543 in exponential form is:

9543 = 31 × 31811

Prime Factorization of 9557

Prime factors of 9557 are 19, 503. Prime factorization of 9557 in exponential form is:

9557 = 191 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 9543 and 9557.

LCM(9543,9557) = 31 × 31811 × 191 × 5031
LCM(9543,9557) = 91202451