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What is the Least Common Multiple of 81213 and 81232?

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 81213 and 81232 is 6597094416.

LCM(81213,81232) = 6597094416

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Least Common Multiple of 81213 and 81232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81213 and 81232, than apply into the LCM equation.

GCF(81213,81232) = 1
LCM(81213,81232) = ( 81213 × 81232) / 1
LCM(81213,81232) = 6597094416 / 1
LCM(81213,81232) = 6597094416

Least Common Multiple (LCM) of 81213 and 81232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81213 and 81232. First we will calculate the prime factors of 81213 and 81232.

Prime Factorization of 81213

Prime factors of 81213 are 3, 11, 23, 107. Prime factorization of 81213 in exponential form is:

81213 = 31 × 111 × 231 × 1071

Prime Factorization of 81232

Prime factors of 81232 are 2, 5077. Prime factorization of 81232 in exponential form is:

81232 = 24 × 50771

Now multiplying the highest exponent prime factors to calculate the LCM of 81213 and 81232.

LCM(81213,81232) = 31 × 111 × 231 × 1071 × 24 × 50771
LCM(81213,81232) = 6597094416