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What is the Least Common Multiple of 17215 and 17232?

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 17215 and 17232 is 296648880.

LCM(17215,17232) = 296648880

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Least Common Multiple of 17215 and 17232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17215 and 17232, than apply into the LCM equation.

GCF(17215,17232) = 1
LCM(17215,17232) = ( 17215 × 17232) / 1
LCM(17215,17232) = 296648880 / 1
LCM(17215,17232) = 296648880

Least Common Multiple (LCM) of 17215 and 17232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17215 and 17232. First we will calculate the prime factors of 17215 and 17232.

Prime Factorization of 17215

Prime factors of 17215 are 5, 11, 313. Prime factorization of 17215 in exponential form is:

17215 = 51 × 111 × 3131

Prime Factorization of 17232

Prime factors of 17232 are 2, 3, 359. Prime factorization of 17232 in exponential form is:

17232 = 24 × 31 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 17215 and 17232.

LCM(17215,17232) = 51 × 111 × 3131 × 24 × 31 × 3591
LCM(17215,17232) = 296648880