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What is the Least Common Multiple of 11216 and 11227?

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 11216 and 11227 is 125922032.

LCM(11216,11227) = 125922032

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Least Common Multiple of 11216 and 11227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11216 and 11227, than apply into the LCM equation.

GCF(11216,11227) = 1
LCM(11216,11227) = ( 11216 × 11227) / 1
LCM(11216,11227) = 125922032 / 1
LCM(11216,11227) = 125922032

Least Common Multiple (LCM) of 11216 and 11227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11216 and 11227. First we will calculate the prime factors of 11216 and 11227.

Prime Factorization of 11216

Prime factors of 11216 are 2, 701. Prime factorization of 11216 in exponential form is:

11216 = 24 × 7011

Prime Factorization of 11227

Prime factors of 11227 are 103, 109. Prime factorization of 11227 in exponential form is:

11227 = 1031 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 11216 and 11227.

LCM(11216,11227) = 24 × 7011 × 1031 × 1091
LCM(11216,11227) = 125922032