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What is the Least Common Multiple of 17353 and 17367?

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 17353 and 17367 is 43052793.

LCM(17353,17367) = 43052793

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Least Common Multiple of 17353 and 17367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17353 and 17367, than apply into the LCM equation.

GCF(17353,17367) = 7
LCM(17353,17367) = ( 17353 × 17367) / 7
LCM(17353,17367) = 301369551 / 7
LCM(17353,17367) = 43052793

Least Common Multiple (LCM) of 17353 and 17367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17353 and 17367. First we will calculate the prime factors of 17353 and 17367.

Prime Factorization of 17353

Prime factors of 17353 are 7, 37, 67. Prime factorization of 17353 in exponential form is:

17353 = 71 × 371 × 671

Prime Factorization of 17367

Prime factors of 17367 are 3, 7, 827. Prime factorization of 17367 in exponential form is:

17367 = 31 × 71 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 17353 and 17367.

LCM(17353,17367) = 71 × 371 × 671 × 31 × 8271
LCM(17353,17367) = 43052793