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What is the Least Common Multiple of 11526 and 11539?

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 11526 and 11539 is 132998514.

LCM(11526,11539) = 132998514

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Least Common Multiple of 11526 and 11539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11526 and 11539, than apply into the LCM equation.

GCF(11526,11539) = 1
LCM(11526,11539) = ( 11526 × 11539) / 1
LCM(11526,11539) = 132998514 / 1
LCM(11526,11539) = 132998514

Least Common Multiple (LCM) of 11526 and 11539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11526 and 11539. First we will calculate the prime factors of 11526 and 11539.

Prime Factorization of 11526

Prime factors of 11526 are 2, 3, 17, 113. Prime factorization of 11526 in exponential form is:

11526 = 21 × 31 × 171 × 1131

Prime Factorization of 11539

Prime factors of 11539 are 11, 1049. Prime factorization of 11539 in exponential form is:

11539 = 111 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 11526 and 11539.

LCM(11526,11539) = 21 × 31 × 171 × 1131 × 111 × 10491
LCM(11526,11539) = 132998514