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What is the Least Common Multiple of 27080 and 27096?

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 27096 is 91719960.

LCM(27080,27096) = 91719960

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Least Common Multiple of 27080 and 27096 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 27096, than apply into the LCM equation.

GCF(27080,27096) = 8
LCM(27080,27096) = ( 27080 × 27096) / 8
LCM(27080,27096) = 733759680 / 8
LCM(27080,27096) = 91719960

Least Common Multiple (LCM) of 27080 and 27096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27080 and 27096. First we will calculate the prime factors of 27080 and 27096.

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 27096

Prime factors of 27096 are 2, 3, 1129. Prime factorization of 27096 in exponential form is:

27096 = 23 × 31 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 27080 and 27096.

LCM(27080,27096) = 23 × 51 × 6771 × 31 × 11291
LCM(27080,27096) = 91719960