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What is the Least Common Multiple of 81231 and 81244?

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 81231 and 81244 is 6599531364.

LCM(81231,81244) = 6599531364

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Least Common Multiple of 81231 and 81244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81231 and 81244, than apply into the LCM equation.

GCF(81231,81244) = 1
LCM(81231,81244) = ( 81231 × 81244) / 1
LCM(81231,81244) = 6599531364 / 1
LCM(81231,81244) = 6599531364

Least Common Multiple (LCM) of 81231 and 81244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81231 and 81244. First we will calculate the prime factors of 81231 and 81244.

Prime Factorization of 81231

Prime factors of 81231 are 3, 27077. Prime factorization of 81231 in exponential form is:

81231 = 31 × 270771

Prime Factorization of 81244

Prime factors of 81244 are 2, 19, 1069. Prime factorization of 81244 in exponential form is:

81244 = 22 × 191 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 81231 and 81244.

LCM(81231,81244) = 31 × 270771 × 22 × 191 × 10691
LCM(81231,81244) = 6599531364