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What is the Least Common Multiple of 13512 and 13523?

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 13512 and 13523 is 182722776.

LCM(13512,13523) = 182722776

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Least Common Multiple of 13512 and 13523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13512 and 13523, than apply into the LCM equation.

GCF(13512,13523) = 1
LCM(13512,13523) = ( 13512 × 13523) / 1
LCM(13512,13523) = 182722776 / 1
LCM(13512,13523) = 182722776

Least Common Multiple (LCM) of 13512 and 13523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13512 and 13523. First we will calculate the prime factors of 13512 and 13523.

Prime Factorization of 13512

Prime factors of 13512 are 2, 3, 563. Prime factorization of 13512 in exponential form is:

13512 = 23 × 31 × 5631

Prime Factorization of 13523

Prime factors of 13523 are 13523. Prime factorization of 13523 in exponential form is:

13523 = 135231

Now multiplying the highest exponent prime factors to calculate the LCM of 13512 and 13523.

LCM(13512,13523) = 23 × 31 × 5631 × 135231
LCM(13512,13523) = 182722776