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What is the Least Common Multiple of 27218 and 27223?

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 27218 and 27223 is 740955614.

LCM(27218,27223) = 740955614

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Least Common Multiple of 27218 and 27223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27218 and 27223, than apply into the LCM equation.

GCF(27218,27223) = 1
LCM(27218,27223) = ( 27218 × 27223) / 1
LCM(27218,27223) = 740955614 / 1
LCM(27218,27223) = 740955614

Least Common Multiple (LCM) of 27218 and 27223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27218 and 27223. First we will calculate the prime factors of 27218 and 27223.

Prime Factorization of 27218

Prime factors of 27218 are 2, 31, 439. Prime factorization of 27218 in exponential form is:

27218 = 21 × 311 × 4391

Prime Factorization of 27223

Prime factors of 27223 are 7, 3889. Prime factorization of 27223 in exponential form is:

27223 = 71 × 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 27218 and 27223.

LCM(27218,27223) = 21 × 311 × 4391 × 71 × 38891
LCM(27218,27223) = 740955614