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What is the Least Common Multiple of 13514 and 13521?

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 13514 and 13521 is 182722794.

LCM(13514,13521) = 182722794

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Least Common Multiple of 13514 and 13521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13514 and 13521, than apply into the LCM equation.

GCF(13514,13521) = 1
LCM(13514,13521) = ( 13514 × 13521) / 1
LCM(13514,13521) = 182722794 / 1
LCM(13514,13521) = 182722794

Least Common Multiple (LCM) of 13514 and 13521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13514 and 13521. First we will calculate the prime factors of 13514 and 13521.

Prime Factorization of 13514

Prime factors of 13514 are 2, 29, 233. Prime factorization of 13514 in exponential form is:

13514 = 21 × 291 × 2331

Prime Factorization of 13521

Prime factors of 13521 are 3, 4507. Prime factorization of 13521 in exponential form is:

13521 = 31 × 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 13514 and 13521.

LCM(13514,13521) = 21 × 291 × 2331 × 31 × 45071
LCM(13514,13521) = 182722794