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What is the Least Common Multiple of 27318 and 27322?

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 27318 and 27322 is 373191198.

LCM(27318,27322) = 373191198

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Least Common Multiple of 27318 and 27322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27318 and 27322, than apply into the LCM equation.

GCF(27318,27322) = 2
LCM(27318,27322) = ( 27318 × 27322) / 2
LCM(27318,27322) = 746382396 / 2
LCM(27318,27322) = 373191198

Least Common Multiple (LCM) of 27318 and 27322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27318 and 27322. First we will calculate the prime factors of 27318 and 27322.

Prime Factorization of 27318

Prime factors of 27318 are 2, 3, 29, 157. Prime factorization of 27318 in exponential form is:

27318 = 21 × 31 × 291 × 1571

Prime Factorization of 27322

Prime factors of 27322 are 2, 19, 719. Prime factorization of 27322 in exponential form is:

27322 = 21 × 191 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 27318 and 27322.

LCM(27318,27322) = 21 × 31 × 291 × 1571 × 191 × 7191
LCM(27318,27322) = 373191198