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What is the Least Common Multiple of 27080 and 27099?

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 27099 is 733840920.

LCM(27080,27099) = 733840920

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Least Common Multiple of 27080 and 27099 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 27099, than apply into the LCM equation.

GCF(27080,27099) = 1
LCM(27080,27099) = ( 27080 × 27099) / 1
LCM(27080,27099) = 733840920 / 1
LCM(27080,27099) = 733840920

Least Common Multiple (LCM) of 27080 and 27099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27080 and 27099. First we will calculate the prime factors of 27080 and 27099.

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 27099

Prime factors of 27099 are 3, 3011. Prime factorization of 27099 in exponential form is:

27099 = 32 × 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 27080 and 27099.

LCM(27080,27099) = 23 × 51 × 6771 × 32 × 30111
LCM(27080,27099) = 733840920