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What is the Least Common Multiple of 17276 and 17290?

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 17276 and 17290 is 21335860.

LCM(17276,17290) = 21335860

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Least Common Multiple of 17276 and 17290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17276 and 17290, than apply into the LCM equation.

GCF(17276,17290) = 14
LCM(17276,17290) = ( 17276 × 17290) / 14
LCM(17276,17290) = 298702040 / 14
LCM(17276,17290) = 21335860

Least Common Multiple (LCM) of 17276 and 17290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17276 and 17290. First we will calculate the prime factors of 17276 and 17290.

Prime Factorization of 17276

Prime factors of 17276 are 2, 7, 617. Prime factorization of 17276 in exponential form is:

17276 = 22 × 71 × 6171

Prime Factorization of 17290

Prime factors of 17290 are 2, 5, 7, 13, 19. Prime factorization of 17290 in exponential form is:

17290 = 21 × 51 × 71 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 17276 and 17290.

LCM(17276,17290) = 22 × 71 × 6171 × 51 × 131 × 191
LCM(17276,17290) = 21335860