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What is the Least Common Multiple of 13543 and 13552?

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 13543 and 13552 is 183534736.

LCM(13543,13552) = 183534736

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Least Common Multiple of 13543 and 13552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13543 and 13552, than apply into the LCM equation.

GCF(13543,13552) = 1
LCM(13543,13552) = ( 13543 × 13552) / 1
LCM(13543,13552) = 183534736 / 1
LCM(13543,13552) = 183534736

Least Common Multiple (LCM) of 13543 and 13552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13543 and 13552. First we will calculate the prime factors of 13543 and 13552.

Prime Factorization of 13543

Prime factors of 13543 are 29, 467. Prime factorization of 13543 in exponential form is:

13543 = 291 × 4671

Prime Factorization of 13552

Prime factors of 13552 are 2, 7, 11. Prime factorization of 13552 in exponential form is:

13552 = 24 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 13543 and 13552.

LCM(13543,13552) = 291 × 4671 × 24 × 71 × 112
LCM(13543,13552) = 183534736