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What is the Least Common Multiple of 17341 and 17357?

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 17341 and 17357 is 300987737.

LCM(17341,17357) = 300987737

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Least Common Multiple of 17341 and 17357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17341 and 17357, than apply into the LCM equation.

GCF(17341,17357) = 1
LCM(17341,17357) = ( 17341 × 17357) / 1
LCM(17341,17357) = 300987737 / 1
LCM(17341,17357) = 300987737

Least Common Multiple (LCM) of 17341 and 17357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17341 and 17357. First we will calculate the prime factors of 17341 and 17357.

Prime Factorization of 17341

Prime factors of 17341 are 17341. Prime factorization of 17341 in exponential form is:

17341 = 173411

Prime Factorization of 17357

Prime factors of 17357 are 17, 1021. Prime factorization of 17357 in exponential form is:

17357 = 171 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 17341 and 17357.

LCM(17341,17357) = 173411 × 171 × 10211
LCM(17341,17357) = 300987737