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What is the Least Common Multiple of 16217 and 16226?

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 16217 and 16226 is 263137042.

LCM(16217,16226) = 263137042

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Least Common Multiple of 16217 and 16226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16217 and 16226, than apply into the LCM equation.

GCF(16217,16226) = 1
LCM(16217,16226) = ( 16217 × 16226) / 1
LCM(16217,16226) = 263137042 / 1
LCM(16217,16226) = 263137042

Least Common Multiple (LCM) of 16217 and 16226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16217 and 16226. First we will calculate the prime factors of 16217 and 16226.

Prime Factorization of 16217

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 162171

Prime Factorization of 16226

Prime factors of 16226 are 2, 7, 19, 61. Prime factorization of 16226 in exponential form is:

16226 = 21 × 71 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16217 and 16226.

LCM(16217,16226) = 162171 × 21 × 71 × 191 × 611
LCM(16217,16226) = 263137042