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What is the Least Common Multiple of 13533 and 13542?

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 13542 is 61087962.

LCM(13533,13542) = 61087962

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Least Common Multiple of 13533 and 13542 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 13542, than apply into the LCM equation.

GCF(13533,13542) = 3
LCM(13533,13542) = ( 13533 × 13542) / 3
LCM(13533,13542) = 183263886 / 3
LCM(13533,13542) = 61087962

Least Common Multiple (LCM) of 13533 and 13542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13533 and 13542. First we will calculate the prime factors of 13533 and 13542.

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 13542

Prime factors of 13542 are 2, 3, 37, 61. Prime factorization of 13542 in exponential form is:

13542 = 21 × 31 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 13533 and 13542.

LCM(13533,13542) = 31 × 131 × 3471 × 21 × 371 × 611
LCM(13533,13542) = 61087962