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What is the Least Common Multiple of 17397 and 17410?

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 17397 and 17410 is 302881770.

LCM(17397,17410) = 302881770

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Least Common Multiple of 17397 and 17410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17397 and 17410, than apply into the LCM equation.

GCF(17397,17410) = 1
LCM(17397,17410) = ( 17397 × 17410) / 1
LCM(17397,17410) = 302881770 / 1
LCM(17397,17410) = 302881770

Least Common Multiple (LCM) of 17397 and 17410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17397 and 17410. First we will calculate the prime factors of 17397 and 17410.

Prime Factorization of 17397

Prime factors of 17397 are 3, 1933. Prime factorization of 17397 in exponential form is:

17397 = 32 × 19331

Prime Factorization of 17410

Prime factors of 17410 are 2, 5, 1741. Prime factorization of 17410 in exponential form is:

17410 = 21 × 51 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 17397 and 17410.

LCM(17397,17410) = 32 × 19331 × 21 × 51 × 17411
LCM(17397,17410) = 302881770