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What is the Least Common Multiple of 80127 and 80136?

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 80127 and 80136 is 713450808.

LCM(80127,80136) = 713450808

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Least Common Multiple of 80127 and 80136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80127 and 80136, than apply into the LCM equation.

GCF(80127,80136) = 9
LCM(80127,80136) = ( 80127 × 80136) / 9
LCM(80127,80136) = 6421057272 / 9
LCM(80127,80136) = 713450808

Least Common Multiple (LCM) of 80127 and 80136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80127 and 80136. First we will calculate the prime factors of 80127 and 80136.

Prime Factorization of 80127

Prime factors of 80127 are 3, 29, 307. Prime factorization of 80127 in exponential form is:

80127 = 32 × 291 × 3071

Prime Factorization of 80136

Prime factors of 80136 are 2, 3, 7, 53. Prime factorization of 80136 in exponential form is:

80136 = 23 × 33 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 80127 and 80136.

LCM(80127,80136) = 33 × 291 × 3071 × 23 × 71 × 531
LCM(80127,80136) = 713450808