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What is the Least Common Multiple of 81273 and 81286?

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 81286 is 6606357078.

LCM(81273,81286) = 6606357078

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Least Common Multiple of 81273 and 81286 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 81286, than apply into the LCM equation.

GCF(81273,81286) = 1
LCM(81273,81286) = ( 81273 × 81286) / 1
LCM(81273,81286) = 6606357078 / 1
LCM(81273,81286) = 6606357078

Least Common Multiple (LCM) of 81273 and 81286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81273 and 81286. First we will calculate the prime factors of 81273 and 81286.

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 81286

Prime factors of 81286 are 2, 97, 419. Prime factorization of 81286 in exponential form is:

81286 = 21 × 971 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 81273 and 81286.

LCM(81273,81286) = 31 × 270911 × 21 × 971 × 4191
LCM(81273,81286) = 6606357078