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What is the Least Common Multiple of 17202 and 17209?

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 17202 and 17209 is 296029218.

LCM(17202,17209) = 296029218

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Least Common Multiple of 17202 and 17209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17202 and 17209, than apply into the LCM equation.

GCF(17202,17209) = 1
LCM(17202,17209) = ( 17202 × 17209) / 1
LCM(17202,17209) = 296029218 / 1
LCM(17202,17209) = 296029218

Least Common Multiple (LCM) of 17202 and 17209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17202 and 17209. First we will calculate the prime factors of 17202 and 17209.

Prime Factorization of 17202

Prime factors of 17202 are 2, 3, 47, 61. Prime factorization of 17202 in exponential form is:

17202 = 21 × 31 × 471 × 611

Prime Factorization of 17209

Prime factors of 17209 are 17209. Prime factorization of 17209 in exponential form is:

17209 = 172091

Now multiplying the highest exponent prime factors to calculate the LCM of 17202 and 17209.

LCM(17202,17209) = 21 × 31 × 471 × 611 × 172091
LCM(17202,17209) = 296029218