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What is the Least Common Multiple of 81052 and 81066?

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 81052 and 81066 is 3285280716.

LCM(81052,81066) = 3285280716

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Least Common Multiple of 81052 and 81066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81052 and 81066, than apply into the LCM equation.

GCF(81052,81066) = 2
LCM(81052,81066) = ( 81052 × 81066) / 2
LCM(81052,81066) = 6570561432 / 2
LCM(81052,81066) = 3285280716

Least Common Multiple (LCM) of 81052 and 81066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81052 and 81066. First we will calculate the prime factors of 81052 and 81066.

Prime Factorization of 81052

Prime factors of 81052 are 2, 23, 881. Prime factorization of 81052 in exponential form is:

81052 = 22 × 231 × 8811

Prime Factorization of 81066

Prime factors of 81066 are 2, 3, 59, 229. Prime factorization of 81066 in exponential form is:

81066 = 21 × 31 × 591 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 81052 and 81066.

LCM(81052,81066) = 22 × 231 × 8811 × 31 × 591 × 2291
LCM(81052,81066) = 3285280716