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What is the Least Common Multiple of 36217 and 36227?

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 36217 and 36227 is 1312033259.

LCM(36217,36227) = 1312033259

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Least Common Multiple of 36217 and 36227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36217 and 36227, than apply into the LCM equation.

GCF(36217,36227) = 1
LCM(36217,36227) = ( 36217 × 36227) / 1
LCM(36217,36227) = 1312033259 / 1
LCM(36217,36227) = 1312033259

Least Common Multiple (LCM) of 36217 and 36227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36217 and 36227. First we will calculate the prime factors of 36217 and 36227.

Prime Factorization of 36217

Prime factors of 36217 are 36217. Prime factorization of 36217 in exponential form is:

36217 = 362171

Prime Factorization of 36227

Prime factors of 36227 are 17, 2131. Prime factorization of 36227 in exponential form is:

36227 = 171 × 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 36217 and 36227.

LCM(36217,36227) = 362171 × 171 × 21311
LCM(36217,36227) = 1312033259