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What is the Least Common Multiple of 11208 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 11208 and 11227 is 125832216.

LCM(11208,11227) = 125832216

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Least Common Multiple of 11208 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 11208 and 11227, than apply into the LCM equation.

GCF(11208,11227) = 1
LCM(11208,11227) = ( 11208 × 11227) / 1
LCM(11208,11227) = 125832216 / 1
LCM(11208,11227) = 125832216

Least Common Multiple (LCM) of 11208 and 11227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11208 and 11227. First we will calculate the prime factors of 11208 and 11227.

Prime Factorization of 11208

Prime factors of 11208 are 2, 3, 467. Prime factorization of 11208 in exponential form is:

11208 = 23 × 31 × 4671

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 11208 and 11227.

LCM(11208,11227) = 23 × 31 × 4671 × 1031 × 1091
LCM(11208,11227) = 125832216