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What is the Least Common Multiple of 13518 and 13524?

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 13518 and 13524 is 30469572.

LCM(13518,13524) = 30469572

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Least Common Multiple of 13518 and 13524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13518 and 13524, than apply into the LCM equation.

GCF(13518,13524) = 6
LCM(13518,13524) = ( 13518 × 13524) / 6
LCM(13518,13524) = 182817432 / 6
LCM(13518,13524) = 30469572

Least Common Multiple (LCM) of 13518 and 13524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13518 and 13524. First we will calculate the prime factors of 13518 and 13524.

Prime Factorization of 13518

Prime factors of 13518 are 2, 3, 751. Prime factorization of 13518 in exponential form is:

13518 = 21 × 32 × 7511

Prime Factorization of 13524

Prime factors of 13524 are 2, 3, 7, 23. Prime factorization of 13524 in exponential form is:

13524 = 22 × 31 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 13518 and 13524.

LCM(13518,13524) = 22 × 32 × 7511 × 72 × 231
LCM(13518,13524) = 30469572