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What is the Least Common Multiple of 81347 and 81363?

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 81347 and 81363 is 6618635961.

LCM(81347,81363) = 6618635961

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Least Common Multiple of 81347 and 81363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81347 and 81363, than apply into the LCM equation.

GCF(81347,81363) = 1
LCM(81347,81363) = ( 81347 × 81363) / 1
LCM(81347,81363) = 6618635961 / 1
LCM(81347,81363) = 6618635961

Least Common Multiple (LCM) of 81347 and 81363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81347 and 81363. First we will calculate the prime factors of 81347 and 81363.

Prime Factorization of 81347

Prime factors of 81347 are 7, 11621. Prime factorization of 81347 in exponential form is:

81347 = 71 × 116211

Prime Factorization of 81363

Prime factors of 81363 are 3, 37, 733. Prime factorization of 81363 in exponential form is:

81363 = 31 × 371 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 81347 and 81363.

LCM(81347,81363) = 71 × 116211 × 31 × 371 × 7331
LCM(81347,81363) = 6618635961