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What is the Least Common Multiple of 81183 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 81183 and 81199 is 6591978417.

LCM(81183,81199) = 6591978417

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Least Common Multiple of 81183 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 81183 and 81199, than apply into the LCM equation.

GCF(81183,81199) = 1
LCM(81183,81199) = ( 81183 × 81199) / 1
LCM(81183,81199) = 6591978417 / 1
LCM(81183,81199) = 6591978417

Least Common Multiple (LCM) of 81183 and 81199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81183 and 81199. First we will calculate the prime factors of 81183 and 81199.

Prime Factorization of 81183

Prime factors of 81183 are 3, 27061. Prime factorization of 81183 in exponential form is:

81183 = 31 × 270611

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 81183 and 81199.

LCM(81183,81199) = 31 × 270611 × 811991
LCM(81183,81199) = 6591978417