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What is the Least Common Multiple of 11526 and 11542?

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 11542 is 66516546.

LCM(11526,11542) = 66516546

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Least Common Multiple of 11526 and 11542 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 11542, than apply into the LCM equation.

GCF(11526,11542) = 2
LCM(11526,11542) = ( 11526 × 11542) / 2
LCM(11526,11542) = 133033092 / 2
LCM(11526,11542) = 66516546

Least Common Multiple (LCM) of 11526 and 11542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11526 and 11542. First we will calculate the prime factors of 11526 and 11542.

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 11542

Prime factors of 11542 are 2, 29, 199. Prime factorization of 11542 in exponential form is:

11542 = 21 × 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 11526 and 11542.

LCM(11526,11542) = 21 × 31 × 171 × 1131 × 291 × 1991
LCM(11526,11542) = 66516546