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What is the Least Common Multiple of 27214 and 27232?

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 27214 and 27232 is 370545824.

LCM(27214,27232) = 370545824

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Least Common Multiple of 27214 and 27232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27214 and 27232, than apply into the LCM equation.

GCF(27214,27232) = 2
LCM(27214,27232) = ( 27214 × 27232) / 2
LCM(27214,27232) = 741091648 / 2
LCM(27214,27232) = 370545824

Least Common Multiple (LCM) of 27214 and 27232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27214 and 27232. First we will calculate the prime factors of 27214 and 27232.

Prime Factorization of 27214

Prime factors of 27214 are 2, 11, 1237. Prime factorization of 27214 in exponential form is:

27214 = 21 × 111 × 12371

Prime Factorization of 27232

Prime factors of 27232 are 2, 23, 37. Prime factorization of 27232 in exponential form is:

27232 = 25 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 27214 and 27232.

LCM(27214,27232) = 25 × 111 × 12371 × 231 × 371
LCM(27214,27232) = 370545824