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What is the Least Common Multiple of 81233 and 81246?

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 81233 and 81246 is 6599856318.

LCM(81233,81246) = 6599856318

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Least Common Multiple of 81233 and 81246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81233 and 81246, than apply into the LCM equation.

GCF(81233,81246) = 1
LCM(81233,81246) = ( 81233 × 81246) / 1
LCM(81233,81246) = 6599856318 / 1
LCM(81233,81246) = 6599856318

Least Common Multiple (LCM) of 81233 and 81246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81233 and 81246. First we will calculate the prime factors of 81233 and 81246.

Prime Factorization of 81233

Prime factors of 81233 are 81233. Prime factorization of 81233 in exponential form is:

81233 = 812331

Prime Factorization of 81246

Prime factors of 81246 are 2, 3, 11, 1231. Prime factorization of 81246 in exponential form is:

81246 = 21 × 31 × 111 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 81233 and 81246.

LCM(81233,81246) = 812331 × 21 × 31 × 111 × 12311
LCM(81233,81246) = 6599856318