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What is the Least Common Multiple of 84827 and 84831?

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 84827 and 84831 is 7195959237.

LCM(84827,84831) = 7195959237

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Least Common Multiple of 84827 and 84831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84827 and 84831, than apply into the LCM equation.

GCF(84827,84831) = 1
LCM(84827,84831) = ( 84827 × 84831) / 1
LCM(84827,84831) = 7195959237 / 1
LCM(84827,84831) = 7195959237

Least Common Multiple (LCM) of 84827 and 84831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84827 and 84831. First we will calculate the prime factors of 84827 and 84831.

Prime Factorization of 84827

Prime factors of 84827 are 84827. Prime factorization of 84827 in exponential form is:

84827 = 848271

Prime Factorization of 84831

Prime factors of 84831 are 3, 28277. Prime factorization of 84831 in exponential form is:

84831 = 31 × 282771

Now multiplying the highest exponent prime factors to calculate the LCM of 84827 and 84831.

LCM(84827,84831) = 848271 × 31 × 282771
LCM(84827,84831) = 7195959237