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What is the Least Common Multiple of 17224 and 17233?

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 17224 and 17233 is 296821192.

LCM(17224,17233) = 296821192

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Least Common Multiple of 17224 and 17233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17224 and 17233, than apply into the LCM equation.

GCF(17224,17233) = 1
LCM(17224,17233) = ( 17224 × 17233) / 1
LCM(17224,17233) = 296821192 / 1
LCM(17224,17233) = 296821192

Least Common Multiple (LCM) of 17224 and 17233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17233. First we will calculate the prime factors of 17224 and 17233.

Prime Factorization of 17224

Prime factors of 17224 are 2, 2153. Prime factorization of 17224 in exponential form is:

17224 = 23 × 21531

Prime Factorization of 17233

Prime factors of 17233 are 19, 907. Prime factorization of 17233 in exponential form is:

17233 = 191 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17233.

LCM(17224,17233) = 23 × 21531 × 191 × 9071
LCM(17224,17233) = 296821192