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What is the Least Common Multiple of 17223 and 17241?

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 17223 and 17241 is 98980581.

LCM(17223,17241) = 98980581

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Least Common Multiple of 17223 and 17241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17223 and 17241, than apply into the LCM equation.

GCF(17223,17241) = 3
LCM(17223,17241) = ( 17223 × 17241) / 3
LCM(17223,17241) = 296941743 / 3
LCM(17223,17241) = 98980581

Least Common Multiple (LCM) of 17223 and 17241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17223 and 17241. First we will calculate the prime factors of 17223 and 17241.

Prime Factorization of 17223

Prime factors of 17223 are 3, 5741. Prime factorization of 17223 in exponential form is:

17223 = 31 × 57411

Prime Factorization of 17241

Prime factors of 17241 are 3, 7, 821. Prime factorization of 17241 in exponential form is:

17241 = 31 × 71 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 17223 and 17241.

LCM(17223,17241) = 31 × 57411 × 71 × 8211
LCM(17223,17241) = 98980581