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What is the Least Common Multiple of 81121 and 81127?

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 81121 and 81127 is 6581103367.

LCM(81121,81127) = 6581103367

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Least Common Multiple of 81121 and 81127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81121 and 81127, than apply into the LCM equation.

GCF(81121,81127) = 1
LCM(81121,81127) = ( 81121 × 81127) / 1
LCM(81121,81127) = 6581103367 / 1
LCM(81121,81127) = 6581103367

Least Common Multiple (LCM) of 81121 and 81127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81121 and 81127. First we will calculate the prime factors of 81121 and 81127.

Prime Factorization of 81121

Prime factors of 81121 are 23, 3527. Prime factorization of 81121 in exponential form is:

81121 = 231 × 35271

Prime Factorization of 81127

Prime factors of 81127 are 31, 2617. Prime factorization of 81127 in exponential form is:

81127 = 311 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 81121 and 81127.

LCM(81121,81127) = 231 × 35271 × 311 × 26171
LCM(81121,81127) = 6581103367