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What is the Least Common Multiple of 27303 and 27316?

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 27303 and 27316 is 745808748.

LCM(27303,27316) = 745808748

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Least Common Multiple of 27303 and 27316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27303 and 27316, than apply into the LCM equation.

GCF(27303,27316) = 1
LCM(27303,27316) = ( 27303 × 27316) / 1
LCM(27303,27316) = 745808748 / 1
LCM(27303,27316) = 745808748

Least Common Multiple (LCM) of 27303 and 27316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27303 and 27316. First we will calculate the prime factors of 27303 and 27316.

Prime Factorization of 27303

Prime factors of 27303 are 3, 19, 479. Prime factorization of 27303 in exponential form is:

27303 = 31 × 191 × 4791

Prime Factorization of 27316

Prime factors of 27316 are 2, 6829. Prime factorization of 27316 in exponential form is:

27316 = 22 × 68291

Now multiplying the highest exponent prime factors to calculate the LCM of 27303 and 27316.

LCM(27303,27316) = 31 × 191 × 4791 × 22 × 68291
LCM(27303,27316) = 745808748