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What is the Least Common Multiple of 81046 and 81055?

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 81046 and 81055 is 6569183530.

LCM(81046,81055) = 6569183530

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Least Common Multiple of 81046 and 81055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81046 and 81055, than apply into the LCM equation.

GCF(81046,81055) = 1
LCM(81046,81055) = ( 81046 × 81055) / 1
LCM(81046,81055) = 6569183530 / 1
LCM(81046,81055) = 6569183530

Least Common Multiple (LCM) of 81046 and 81055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81046 and 81055. First we will calculate the prime factors of 81046 and 81055.

Prime Factorization of 81046

Prime factors of 81046 are 2, 7, 827. Prime factorization of 81046 in exponential form is:

81046 = 21 × 72 × 8271

Prime Factorization of 81055

Prime factors of 81055 are 5, 13, 29, 43. Prime factorization of 81055 in exponential form is:

81055 = 51 × 131 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 81046 and 81055.

LCM(81046,81055) = 21 × 72 × 8271 × 51 × 131 × 291 × 431
LCM(81046,81055) = 6569183530