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What is the Least Common Multiple of 13519 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 13519 and 13524 is 182830956.

LCM(13519,13524) = 182830956

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Least Common Multiple of 13519 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 13519 and 13524, than apply into the LCM equation.

GCF(13519,13524) = 1
LCM(13519,13524) = ( 13519 × 13524) / 1
LCM(13519,13524) = 182830956 / 1
LCM(13519,13524) = 182830956

Least Common Multiple (LCM) of 13519 and 13524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13519 and 13524. First we will calculate the prime factors of 13519 and 13524.

Prime Factorization of 13519

Prime factors of 13519 are 11, 1229. Prime factorization of 13519 in exponential form is:

13519 = 111 × 12291

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 13519 and 13524.

LCM(13519,13524) = 111 × 12291 × 22 × 31 × 72 × 231
LCM(13519,13524) = 182830956