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What is the Least Common Multiple of 81188 and 81199?

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 81188 and 81199 is 6592384412.

LCM(81188,81199) = 6592384412

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Least Common Multiple of 81188 and 81199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81188 and 81199, than apply into the LCM equation.

GCF(81188,81199) = 1
LCM(81188,81199) = ( 81188 × 81199) / 1
LCM(81188,81199) = 6592384412 / 1
LCM(81188,81199) = 6592384412

Least Common Multiple (LCM) of 81188 and 81199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81188 and 81199. First we will calculate the prime factors of 81188 and 81199.

Prime Factorization of 81188

Prime factors of 81188 are 2, 20297. Prime factorization of 81188 in exponential form is:

81188 = 22 × 202971

Prime Factorization of 81199

Prime factors of 81199 are 81199. Prime factorization of 81199 in exponential form is:

81199 = 811991

Now multiplying the highest exponent prime factors to calculate the LCM of 81188 and 81199.

LCM(81188,81199) = 22 × 202971 × 811991
LCM(81188,81199) = 6592384412