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What is the Least Common Multiple of 27274 and 27283?

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 27274 and 27283 is 744116542.

LCM(27274,27283) = 744116542

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Least Common Multiple of 27274 and 27283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27274 and 27283, than apply into the LCM equation.

GCF(27274,27283) = 1
LCM(27274,27283) = ( 27274 × 27283) / 1
LCM(27274,27283) = 744116542 / 1
LCM(27274,27283) = 744116542

Least Common Multiple (LCM) of 27274 and 27283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27274 and 27283. First we will calculate the prime factors of 27274 and 27283.

Prime Factorization of 27274

Prime factors of 27274 are 2, 13, 1049. Prime factorization of 27274 in exponential form is:

27274 = 21 × 131 × 10491

Prime Factorization of 27283

Prime factors of 27283 are 27283. Prime factorization of 27283 in exponential form is:

27283 = 272831

Now multiplying the highest exponent prime factors to calculate the LCM of 27274 and 27283.

LCM(27274,27283) = 21 × 131 × 10491 × 272831
LCM(27274,27283) = 744116542