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What is the Least Common Multiple of 17207 and 17220?

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 17207 and 17220 is 296304540.

LCM(17207,17220) = 296304540

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Least Common Multiple of 17207 and 17220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17207 and 17220, than apply into the LCM equation.

GCF(17207,17220) = 1
LCM(17207,17220) = ( 17207 × 17220) / 1
LCM(17207,17220) = 296304540 / 1
LCM(17207,17220) = 296304540

Least Common Multiple (LCM) of 17207 and 17220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17207 and 17220. First we will calculate the prime factors of 17207 and 17220.

Prime Factorization of 17207

Prime factors of 17207 are 17207. Prime factorization of 17207 in exponential form is:

17207 = 172071

Prime Factorization of 17220

Prime factors of 17220 are 2, 3, 5, 7, 41. Prime factorization of 17220 in exponential form is:

17220 = 22 × 31 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 17207 and 17220.

LCM(17207,17220) = 172071 × 22 × 31 × 51 × 71 × 411
LCM(17207,17220) = 296304540