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What is the Least Common Multiple of 27094 and 27104?

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 27094 and 27104 is 367177888.

LCM(27094,27104) = 367177888

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Least Common Multiple of 27094 and 27104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27094 and 27104, than apply into the LCM equation.

GCF(27094,27104) = 2
LCM(27094,27104) = ( 27094 × 27104) / 2
LCM(27094,27104) = 734355776 / 2
LCM(27094,27104) = 367177888

Least Common Multiple (LCM) of 27094 and 27104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27094 and 27104. First we will calculate the prime factors of 27094 and 27104.

Prime Factorization of 27094

Prime factors of 27094 are 2, 19, 23, 31. Prime factorization of 27094 in exponential form is:

27094 = 21 × 191 × 231 × 311

Prime Factorization of 27104

Prime factors of 27104 are 2, 7, 11. Prime factorization of 27104 in exponential form is:

27104 = 25 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 27094 and 27104.

LCM(27094,27104) = 25 × 191 × 231 × 311 × 71 × 112
LCM(27094,27104) = 367177888