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What is the Least Common Multiple of 27080 and 27094?

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 27080 and 27094 is 366852760.

LCM(27080,27094) = 366852760

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Least Common Multiple of 27080 and 27094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27080 and 27094, than apply into the LCM equation.

GCF(27080,27094) = 2
LCM(27080,27094) = ( 27080 × 27094) / 2
LCM(27080,27094) = 733705520 / 2
LCM(27080,27094) = 366852760

Least Common Multiple (LCM) of 27080 and 27094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27080 and 27094. First we will calculate the prime factors of 27080 and 27094.

Prime Factorization of 27080

Prime factors of 27080 are 2, 5, 677. Prime factorization of 27080 in exponential form is:

27080 = 23 × 51 × 6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27080 and 27094.

LCM(27080,27094) = 23 × 51 × 6771 × 191 × 231 × 311
LCM(27080,27094) = 366852760