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What is the Least Common Multiple of 10539 and 10557?

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 10539 and 10557 is 12362247.

LCM(10539,10557) = 12362247

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Least Common Multiple of 10539 and 10557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10539 and 10557, than apply into the LCM equation.

GCF(10539,10557) = 9
LCM(10539,10557) = ( 10539 × 10557) / 9
LCM(10539,10557) = 111260223 / 9
LCM(10539,10557) = 12362247

Least Common Multiple (LCM) of 10539 and 10557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10539 and 10557. First we will calculate the prime factors of 10539 and 10557.

Prime Factorization of 10539

Prime factors of 10539 are 3, 1171. Prime factorization of 10539 in exponential form is:

10539 = 32 × 11711

Prime Factorization of 10557

Prime factors of 10557 are 3, 17, 23. Prime factorization of 10557 in exponential form is:

10557 = 33 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 10539 and 10557.

LCM(10539,10557) = 33 × 11711 × 171 × 231
LCM(10539,10557) = 12362247