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What is the Least Common Multiple of 13342 and 13349?

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 13342 and 13349 is 25443194.

LCM(13342,13349) = 25443194

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Least Common Multiple of 13342 and 13349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13342 and 13349, than apply into the LCM equation.

GCF(13342,13349) = 7
LCM(13342,13349) = ( 13342 × 13349) / 7
LCM(13342,13349) = 178102358 / 7
LCM(13342,13349) = 25443194

Least Common Multiple (LCM) of 13342 and 13349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13342 and 13349. First we will calculate the prime factors of 13342 and 13349.

Prime Factorization of 13342

Prime factors of 13342 are 2, 7, 953. Prime factorization of 13342 in exponential form is:

13342 = 21 × 71 × 9531

Prime Factorization of 13349

Prime factors of 13349 are 7, 1907. Prime factorization of 13349 in exponential form is:

13349 = 71 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 13342 and 13349.

LCM(13342,13349) = 21 × 71 × 9531 × 19071
LCM(13342,13349) = 25443194