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What is the Least Common Multiple of 27221 and 27233?

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 27221 and 27233 is 741309493.

LCM(27221,27233) = 741309493

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Least Common Multiple of 27221 and 27233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27221 and 27233, than apply into the LCM equation.

GCF(27221,27233) = 1
LCM(27221,27233) = ( 27221 × 27233) / 1
LCM(27221,27233) = 741309493 / 1
LCM(27221,27233) = 741309493

Least Common Multiple (LCM) of 27221 and 27233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27221 and 27233. First we will calculate the prime factors of 27221 and 27233.

Prime Factorization of 27221

Prime factors of 27221 are 163, 167. Prime factorization of 27221 in exponential form is:

27221 = 1631 × 1671

Prime Factorization of 27233

Prime factors of 27233 are 113, 241. Prime factorization of 27233 in exponential form is:

27233 = 1131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 27221 and 27233.

LCM(27221,27233) = 1631 × 1671 × 1131 × 2411
LCM(27221,27233) = 741309493