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What is the Least Common Multiple of 11542 and 11548?

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 11542 and 11548 is 66643508.

LCM(11542,11548) = 66643508

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Least Common Multiple of 11542 and 11548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11542 and 11548, than apply into the LCM equation.

GCF(11542,11548) = 2
LCM(11542,11548) = ( 11542 × 11548) / 2
LCM(11542,11548) = 133287016 / 2
LCM(11542,11548) = 66643508

Least Common Multiple (LCM) of 11542 and 11548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11542 and 11548. First we will calculate the prime factors of 11542 and 11548.

Prime Factorization of 11542

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

11542 = 21 × 291 × 1991

Prime Factorization of 11548

Prime factors of 11548 are 2, 2887. Prime factorization of 11548 in exponential form is:

11548 = 22 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 11542 and 11548.

LCM(11542,11548) = 22 × 291 × 1991 × 28871
LCM(11542,11548) = 66643508