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What is the Least Common Multiple of 17259 and 17278?

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 17259 and 17278 is 298201002.

LCM(17259,17278) = 298201002

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Least Common Multiple of 17259 and 17278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17259 and 17278, than apply into the LCM equation.

GCF(17259,17278) = 1
LCM(17259,17278) = ( 17259 × 17278) / 1
LCM(17259,17278) = 298201002 / 1
LCM(17259,17278) = 298201002

Least Common Multiple (LCM) of 17259 and 17278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17259 and 17278. First we will calculate the prime factors of 17259 and 17278.

Prime Factorization of 17259

Prime factors of 17259 are 3, 11, 523. Prime factorization of 17259 in exponential form is:

17259 = 31 × 111 × 5231

Prime Factorization of 17278

Prime factors of 17278 are 2, 53, 163. Prime factorization of 17278 in exponential form is:

17278 = 21 × 531 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 17259 and 17278.

LCM(17259,17278) = 31 × 111 × 5231 × 21 × 531 × 1631
LCM(17259,17278) = 298201002