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What is the Least Common Multiple of 81427 and 81439?

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 81427 and 81439 is 6631333453.

LCM(81427,81439) = 6631333453

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Least Common Multiple of 81427 and 81439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81427 and 81439, than apply into the LCM equation.

GCF(81427,81439) = 1
LCM(81427,81439) = ( 81427 × 81439) / 1
LCM(81427,81439) = 6631333453 / 1
LCM(81427,81439) = 6631333453

Least Common Multiple (LCM) of 81427 and 81439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81427 and 81439. First we will calculate the prime factors of 81427 and 81439.

Prime Factorization of 81427

Prime factors of 81427 are 107, 761. Prime factorization of 81427 in exponential form is:

81427 = 1071 × 7611

Prime Factorization of 81439

Prime factors of 81439 are 81439. Prime factorization of 81439 in exponential form is:

81439 = 814391

Now multiplying the highest exponent prime factors to calculate the LCM of 81427 and 81439.

LCM(81427,81439) = 1071 × 7611 × 814391
LCM(81427,81439) = 6631333453