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What is the Least Common Multiple of 17422 and 17435?

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 17422 and 17435 is 303752570.

LCM(17422,17435) = 303752570

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Least Common Multiple of 17422 and 17435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17422 and 17435, than apply into the LCM equation.

GCF(17422,17435) = 1
LCM(17422,17435) = ( 17422 × 17435) / 1
LCM(17422,17435) = 303752570 / 1
LCM(17422,17435) = 303752570

Least Common Multiple (LCM) of 17422 and 17435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17422 and 17435. First we will calculate the prime factors of 17422 and 17435.

Prime Factorization of 17422

Prime factors of 17422 are 2, 31, 281. Prime factorization of 17422 in exponential form is:

17422 = 21 × 311 × 2811

Prime Factorization of 17435

Prime factors of 17435 are 5, 11, 317. Prime factorization of 17435 in exponential form is:

17435 = 51 × 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 17422 and 17435.

LCM(17422,17435) = 21 × 311 × 2811 × 51 × 111 × 3171
LCM(17422,17435) = 303752570