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What is the Least Common Multiple of 81273 and 81293?

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 81273 and 81293 is 6606925989.

LCM(81273,81293) = 6606925989

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Least Common Multiple of 81273 and 81293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81273 and 81293, than apply into the LCM equation.

GCF(81273,81293) = 1
LCM(81273,81293) = ( 81273 × 81293) / 1
LCM(81273,81293) = 6606925989 / 1
LCM(81273,81293) = 6606925989

Least Common Multiple (LCM) of 81273 and 81293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81273 and 81293. First we will calculate the prime factors of 81273 and 81293.

Prime Factorization of 81273

Prime factors of 81273 are 3, 27091. Prime factorization of 81273 in exponential form is:

81273 = 31 × 270911

Prime Factorization of 81293

Prime factors of 81293 are 81293. Prime factorization of 81293 in exponential form is:

81293 = 812931

Now multiplying the highest exponent prime factors to calculate the LCM of 81273 and 81293.

LCM(81273,81293) = 31 × 270911 × 812931
LCM(81273,81293) = 6606925989