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What is the Least Common Multiple of 91127 and 91138?

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 91127 and 91138 is 8305132526.

LCM(91127,91138) = 8305132526

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Least Common Multiple of 91127 and 91138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91127 and 91138, than apply into the LCM equation.

GCF(91127,91138) = 1
LCM(91127,91138) = ( 91127 × 91138) / 1
LCM(91127,91138) = 8305132526 / 1
LCM(91127,91138) = 8305132526

Least Common Multiple (LCM) of 91127 and 91138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91127 and 91138. First we will calculate the prime factors of 91127 and 91138.

Prime Factorization of 91127

Prime factors of 91127 are 91127. Prime factorization of 91127 in exponential form is:

91127 = 911271

Prime Factorization of 91138

Prime factors of 91138 are 2, 45569. Prime factorization of 91138 in exponential form is:

91138 = 21 × 455691

Now multiplying the highest exponent prime factors to calculate the LCM of 91127 and 91138.

LCM(91127,91138) = 911271 × 21 × 455691
LCM(91127,91138) = 8305132526