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What is the Least Common Multiple of 17216 and 17235?

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 17216 and 17235 is 296717760.

LCM(17216,17235) = 296717760

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Least Common Multiple of 17216 and 17235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17216 and 17235, than apply into the LCM equation.

GCF(17216,17235) = 1
LCM(17216,17235) = ( 17216 × 17235) / 1
LCM(17216,17235) = 296717760 / 1
LCM(17216,17235) = 296717760

Least Common Multiple (LCM) of 17216 and 17235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17216 and 17235. First we will calculate the prime factors of 17216 and 17235.

Prime Factorization of 17216

Prime factors of 17216 are 2, 269. Prime factorization of 17216 in exponential form is:

17216 = 26 × 2691

Prime Factorization of 17235

Prime factors of 17235 are 3, 5, 383. Prime factorization of 17235 in exponential form is:

17235 = 32 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 17216 and 17235.

LCM(17216,17235) = 26 × 2691 × 32 × 51 × 3831
LCM(17216,17235) = 296717760