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What is the Least Common Multiple of 13533 and 13543?

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 13533 and 13543 is 183277419.

LCM(13533,13543) = 183277419

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Least Common Multiple of 13533 and 13543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13533 and 13543, than apply into the LCM equation.

GCF(13533,13543) = 1
LCM(13533,13543) = ( 13533 × 13543) / 1
LCM(13533,13543) = 183277419 / 1
LCM(13533,13543) = 183277419

Least Common Multiple (LCM) of 13533 and 13543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13533 and 13543. First we will calculate the prime factors of 13533 and 13543.

Prime Factorization of 13533

Prime factors of 13533 are 3, 13, 347. Prime factorization of 13533 in exponential form is:

13533 = 31 × 131 × 3471

Prime Factorization of 13543

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

13543 = 291 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 13533 and 13543.

LCM(13533,13543) = 31 × 131 × 3471 × 291 × 4671
LCM(13533,13543) = 183277419