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What is the Least Common Multiple of 81131 and 81151?

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 81151 is 6583861781.

LCM(81131,81151) = 6583861781

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Least Common Multiple of 81131 and 81151 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 81151, than apply into the LCM equation.

GCF(81131,81151) = 1
LCM(81131,81151) = ( 81131 × 81151) / 1
LCM(81131,81151) = 6583861781 / 1
LCM(81131,81151) = 6583861781

Least Common Multiple (LCM) of 81131 and 81151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81131 and 81151. First we will calculate the prime factors of 81131 and 81151.

Prime Factorization of 81131

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

81131 = 811311

Prime Factorization of 81151

Prime factors of 81151 are 7, 11593. Prime factorization of 81151 in exponential form is:

81151 = 71 × 115931

Now multiplying the highest exponent prime factors to calculate the LCM of 81131 and 81151.

LCM(81131,81151) = 811311 × 71 × 115931
LCM(81131,81151) = 6583861781