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What is the Least Common Multiple of 81927 and 81943?

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 81927 and 81943 is 6713344161.

LCM(81927,81943) = 6713344161

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Least Common Multiple of 81927 and 81943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81927 and 81943, than apply into the LCM equation.

GCF(81927,81943) = 1
LCM(81927,81943) = ( 81927 × 81943) / 1
LCM(81927,81943) = 6713344161 / 1
LCM(81927,81943) = 6713344161

Least Common Multiple (LCM) of 81927 and 81943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81927 and 81943. First we will calculate the prime factors of 81927 and 81943.

Prime Factorization of 81927

Prime factors of 81927 are 3, 9103. Prime factorization of 81927 in exponential form is:

81927 = 32 × 91031

Prime Factorization of 81943

Prime factors of 81943 are 81943. Prime factorization of 81943 in exponential form is:

81943 = 819431

Now multiplying the highest exponent prime factors to calculate the LCM of 81927 and 81943.

LCM(81927,81943) = 32 × 91031 × 819431
LCM(81927,81943) = 6713344161