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What is the Least Common Multiple of 27268 and 27286?

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 27268 and 27286 is 372017324.

LCM(27268,27286) = 372017324

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Least Common Multiple of 27268 and 27286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27268 and 27286, than apply into the LCM equation.

GCF(27268,27286) = 2
LCM(27268,27286) = ( 27268 × 27286) / 2
LCM(27268,27286) = 744034648 / 2
LCM(27268,27286) = 372017324

Least Common Multiple (LCM) of 27268 and 27286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27268 and 27286. First we will calculate the prime factors of 27268 and 27286.

Prime Factorization of 27268

Prime factors of 27268 are 2, 17, 401. Prime factorization of 27268 in exponential form is:

27268 = 22 × 171 × 4011

Prime Factorization of 27286

Prime factors of 27286 are 2, 7, 1949. Prime factorization of 27286 in exponential form is:

27286 = 21 × 71 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 27268 and 27286.

LCM(27268,27286) = 22 × 171 × 4011 × 71 × 19491
LCM(27268,27286) = 372017324