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What is the Least Common Multiple of 81411 and 81431?

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 81411 and 81431 is 6629379141.

LCM(81411,81431) = 6629379141

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Least Common Multiple of 81411 and 81431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81411 and 81431, than apply into the LCM equation.

GCF(81411,81431) = 1
LCM(81411,81431) = ( 81411 × 81431) / 1
LCM(81411,81431) = 6629379141 / 1
LCM(81411,81431) = 6629379141

Least Common Multiple (LCM) of 81411 and 81431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81411 and 81431. First we will calculate the prime factors of 81411 and 81431.

Prime Factorization of 81411

Prime factors of 81411 are 3, 11, 2467. Prime factorization of 81411 in exponential form is:

81411 = 31 × 111 × 24671

Prime Factorization of 81431

Prime factors of 81431 are 7, 11633. Prime factorization of 81431 in exponential form is:

81431 = 71 × 116331

Now multiplying the highest exponent prime factors to calculate the LCM of 81411 and 81431.

LCM(81411,81431) = 31 × 111 × 24671 × 71 × 116331
LCM(81411,81431) = 6629379141