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What is the Least Common Multiple of 27219 and 27227?

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 27219 and 27227 is 741091713.

LCM(27219,27227) = 741091713

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Least Common Multiple of 27219 and 27227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27219 and 27227, than apply into the LCM equation.

GCF(27219,27227) = 1
LCM(27219,27227) = ( 27219 × 27227) / 1
LCM(27219,27227) = 741091713 / 1
LCM(27219,27227) = 741091713

Least Common Multiple (LCM) of 27219 and 27227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27219 and 27227. First we will calculate the prime factors of 27219 and 27227.

Prime Factorization of 27219

Prime factors of 27219 are 3, 43, 211. Prime factorization of 27219 in exponential form is:

27219 = 31 × 431 × 2111

Prime Factorization of 27227

Prime factors of 27227 are 19, 1433. Prime factorization of 27227 in exponential form is:

27227 = 191 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 27219 and 27227.

LCM(27219,27227) = 31 × 431 × 2111 × 191 × 14331
LCM(27219,27227) = 741091713