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What is the Least Common Multiple of 81053 and 81067?

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 81053 and 81067 is 938674793.

LCM(81053,81067) = 938674793

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Least Common Multiple of 81053 and 81067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81053 and 81067, than apply into the LCM equation.

GCF(81053,81067) = 7
LCM(81053,81067) = ( 81053 × 81067) / 7
LCM(81053,81067) = 6570723551 / 7
LCM(81053,81067) = 938674793

Least Common Multiple (LCM) of 81053 and 81067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81053 and 81067. First we will calculate the prime factors of 81053 and 81067.

Prime Factorization of 81053

Prime factors of 81053 are 7, 11579. Prime factorization of 81053 in exponential form is:

81053 = 71 × 115791

Prime Factorization of 81067

Prime factors of 81067 are 7, 37, 313. Prime factorization of 81067 in exponential form is:

81067 = 71 × 371 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 81053 and 81067.

LCM(81053,81067) = 71 × 115791 × 371 × 3131
LCM(81053,81067) = 938674793