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What is the Least Common Multiple of 81131 and 81136?

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 81131 and 81136 is 6582644816.

LCM(81131,81136) = 6582644816

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Least Common Multiple of 81131 and 81136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81131 and 81136, than apply into the LCM equation.

GCF(81131,81136) = 1
LCM(81131,81136) = ( 81131 × 81136) / 1
LCM(81131,81136) = 6582644816 / 1
LCM(81131,81136) = 6582644816

Least Common Multiple (LCM) of 81131 and 81136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81131 and 81136. First we will calculate the prime factors of 81131 and 81136.

Prime Factorization of 81131

Prime factors of 81131 are 81131. Prime factorization of 81131 in exponential form is:

81131 = 811311

Prime Factorization of 81136

Prime factors of 81136 are 2, 11, 461. Prime factorization of 81136 in exponential form is:

81136 = 24 × 111 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 81131 and 81136.

LCM(81131,81136) = 811311 × 24 × 111 × 4611
LCM(81131,81136) = 6582644816