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What is the Least Common Multiple of 17354 and 17371?

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 17354 and 17371 is 301456334.

LCM(17354,17371) = 301456334

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Least Common Multiple of 17354 and 17371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17354 and 17371, than apply into the LCM equation.

GCF(17354,17371) = 1
LCM(17354,17371) = ( 17354 × 17371) / 1
LCM(17354,17371) = 301456334 / 1
LCM(17354,17371) = 301456334

Least Common Multiple (LCM) of 17354 and 17371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17354 and 17371. First we will calculate the prime factors of 17354 and 17371.

Prime Factorization of 17354

Prime factors of 17354 are 2, 8677. Prime factorization of 17354 in exponential form is:

17354 = 21 × 86771

Prime Factorization of 17371

Prime factors of 17371 are 29, 599. Prime factorization of 17371 in exponential form is:

17371 = 291 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 17354 and 17371.

LCM(17354,17371) = 21 × 86771 × 291 × 5991
LCM(17354,17371) = 301456334