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What is the Least Common Multiple of 13492 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 13492 and 13499 is 182128508.

LCM(13492,13499) = 182128508

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Least Common Multiple of 13492 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 13492 and 13499, than apply into the LCM equation.

GCF(13492,13499) = 1
LCM(13492,13499) = ( 13492 × 13499) / 1
LCM(13492,13499) = 182128508 / 1
LCM(13492,13499) = 182128508

Least Common Multiple (LCM) of 13492 and 13499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13492 and 13499. First we will calculate the prime factors of 13492 and 13499.

Prime Factorization of 13492

Prime factors of 13492 are 2, 3373. Prime factorization of 13492 in exponential form is:

13492 = 22 × 33731

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 13492 and 13499.

LCM(13492,13499) = 22 × 33731 × 134991
LCM(13492,13499) = 182128508