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What is the Least Common Multiple of 17233 and 17248?

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 17233 and 17248 is 297234784.

LCM(17233,17248) = 297234784

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Least Common Multiple of 17233 and 17248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17233 and 17248, than apply into the LCM equation.

GCF(17233,17248) = 1
LCM(17233,17248) = ( 17233 × 17248) / 1
LCM(17233,17248) = 297234784 / 1
LCM(17233,17248) = 297234784

Least Common Multiple (LCM) of 17233 and 17248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17233 and 17248. First we will calculate the prime factors of 17233 and 17248.

Prime Factorization of 17233

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

17233 = 191 × 9071

Prime Factorization of 17248

Prime factors of 17248 are 2, 7, 11. Prime factorization of 17248 in exponential form is:

17248 = 25 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 17233 and 17248.

LCM(17233,17248) = 191 × 9071 × 25 × 72 × 111
LCM(17233,17248) = 297234784