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What is the Least Common Multiple of 11218 and 11223?

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 11218 and 11223 is 125899614.

LCM(11218,11223) = 125899614

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Least Common Multiple of 11218 and 11223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11218 and 11223, than apply into the LCM equation.

GCF(11218,11223) = 1
LCM(11218,11223) = ( 11218 × 11223) / 1
LCM(11218,11223) = 125899614 / 1
LCM(11218,11223) = 125899614

Least Common Multiple (LCM) of 11218 and 11223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11218 and 11223. First we will calculate the prime factors of 11218 and 11223.

Prime Factorization of 11218

Prime factors of 11218 are 2, 71, 79. Prime factorization of 11218 in exponential form is:

11218 = 21 × 711 × 791

Prime Factorization of 11223

Prime factors of 11223 are 3, 29, 43. Prime factorization of 11223 in exponential form is:

11223 = 32 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 11218 and 11223.

LCM(11218,11223) = 21 × 711 × 791 × 32 × 291 × 431
LCM(11218,11223) = 125899614