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What is the Least Common Multiple of 13491 and 13499?

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 13491 and 13499 is 182115009.

LCM(13491,13499) = 182115009

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Least Common Multiple of 13491 and 13499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13491 and 13499, than apply into the LCM equation.

GCF(13491,13499) = 1
LCM(13491,13499) = ( 13491 × 13499) / 1
LCM(13491,13499) = 182115009 / 1
LCM(13491,13499) = 182115009

Least Common Multiple (LCM) of 13491 and 13499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13491 and 13499. First we will calculate the prime factors of 13491 and 13499.

Prime Factorization of 13491

Prime factors of 13491 are 3, 1499. Prime factorization of 13491 in exponential form is:

13491 = 32 × 14991

Prime Factorization of 13499

Prime factors of 13499 are 13499. Prime factorization of 13499 in exponential form is:

13499 = 134991

Now multiplying the highest exponent prime factors to calculate the LCM of 13491 and 13499.

LCM(13491,13499) = 32 × 14991 × 134991
LCM(13491,13499) = 182115009