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What is the Least Common Multiple of 81050 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 81050 and 81066 is 3285199650.

LCM(81050,81066) = 3285199650

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Least Common Multiple of 81050 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 81050 and 81066, than apply into the LCM equation.

GCF(81050,81066) = 2
LCM(81050,81066) = ( 81050 × 81066) / 2
LCM(81050,81066) = 6570399300 / 2
LCM(81050,81066) = 3285199650

Least Common Multiple (LCM) of 81050 and 81066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81050 and 81066. First we will calculate the prime factors of 81050 and 81066.

Prime Factorization of 81050

Prime factors of 81050 are 2, 5, 1621. Prime factorization of 81050 in exponential form is:

81050 = 21 × 52 × 16211

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 81050 and 81066.

LCM(81050,81066) = 21 × 52 × 16211 × 31 × 591 × 2291
LCM(81050,81066) = 3285199650