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What is the Least Common Multiple of 27324 and 27333?

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 27324 and 27333 is 82982988.

LCM(27324,27333) = 82982988

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Least Common Multiple of 27324 and 27333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27324 and 27333, than apply into the LCM equation.

GCF(27324,27333) = 9
LCM(27324,27333) = ( 27324 × 27333) / 9
LCM(27324,27333) = 746846892 / 9
LCM(27324,27333) = 82982988

Least Common Multiple (LCM) of 27324 and 27333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27324 and 27333. First we will calculate the prime factors of 27324 and 27333.

Prime Factorization of 27324

Prime factors of 27324 are 2, 3, 11, 23. Prime factorization of 27324 in exponential form is:

27324 = 22 × 33 × 111 × 231

Prime Factorization of 27333

Prime factors of 27333 are 3, 3037. Prime factorization of 27333 in exponential form is:

27333 = 32 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 27324 and 27333.

LCM(27324,27333) = 22 × 33 × 111 × 231 × 30371
LCM(27324,27333) = 82982988