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What is the Least Common Multiple of 81107 and 81111?

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 81107 and 81111 is 6578669877.

LCM(81107,81111) = 6578669877

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Least Common Multiple of 81107 and 81111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81107 and 81111, than apply into the LCM equation.

GCF(81107,81111) = 1
LCM(81107,81111) = ( 81107 × 81111) / 1
LCM(81107,81111) = 6578669877 / 1
LCM(81107,81111) = 6578669877

Least Common Multiple (LCM) of 81107 and 81111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81107 and 81111. First we will calculate the prime factors of 81107 and 81111.

Prime Factorization of 81107

Prime factors of 81107 are 13, 17, 367. Prime factorization of 81107 in exponential form is:

81107 = 131 × 171 × 3671

Prime Factorization of 81111

Prime factors of 81111 are 3, 19, 1423. Prime factorization of 81111 in exponential form is:

81111 = 31 × 191 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 81107 and 81111.

LCM(81107,81111) = 131 × 171 × 3671 × 31 × 191 × 14231
LCM(81107,81111) = 6578669877