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What is the Least Common Multiple of 91125 and 91141?

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 91125 and 91141 is 8305223625.

LCM(91125,91141) = 8305223625

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Least Common Multiple of 91125 and 91141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91125 and 91141, than apply into the LCM equation.

GCF(91125,91141) = 1
LCM(91125,91141) = ( 91125 × 91141) / 1
LCM(91125,91141) = 8305223625 / 1
LCM(91125,91141) = 8305223625

Least Common Multiple (LCM) of 91125 and 91141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91125 and 91141. First we will calculate the prime factors of 91125 and 91141.

Prime Factorization of 91125

Prime factors of 91125 are 3, 5. Prime factorization of 91125 in exponential form is:

91125 = 36 × 53

Prime Factorization of 91141

Prime factors of 91141 are 91141. Prime factorization of 91141 in exponential form is:

91141 = 911411

Now multiplying the highest exponent prime factors to calculate the LCM of 91125 and 91141.

LCM(91125,91141) = 36 × 53 × 911411
LCM(91125,91141) = 8305223625