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What is the Least Common Multiple of 13557 and 13563?

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 13557 and 13563 is 61291197.

LCM(13557,13563) = 61291197

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Least Common Multiple of 13557 and 13563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13557 and 13563, than apply into the LCM equation.

GCF(13557,13563) = 3
LCM(13557,13563) = ( 13557 × 13563) / 3
LCM(13557,13563) = 183873591 / 3
LCM(13557,13563) = 61291197

Least Common Multiple (LCM) of 13557 and 13563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13557 and 13563. First we will calculate the prime factors of 13557 and 13563.

Prime Factorization of 13557

Prime factors of 13557 are 3, 4519. Prime factorization of 13557 in exponential form is:

13557 = 31 × 45191

Prime Factorization of 13563

Prime factors of 13563 are 3, 11, 137. Prime factorization of 13563 in exponential form is:

13563 = 32 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 13557 and 13563.

LCM(13557,13563) = 32 × 45191 × 111 × 1371
LCM(13557,13563) = 61291197