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What is the Least Common Multiple of 91255 and 91275?

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 91255 and 91275 is 1665860025.

LCM(91255,91275) = 1665860025

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Least Common Multiple of 91255 and 91275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91255 and 91275, than apply into the LCM equation.

GCF(91255,91275) = 5
LCM(91255,91275) = ( 91255 × 91275) / 5
LCM(91255,91275) = 8329300125 / 5
LCM(91255,91275) = 1665860025

Least Common Multiple (LCM) of 91255 and 91275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91255 and 91275. First we will calculate the prime factors of 91255 and 91275.

Prime Factorization of 91255

Prime factors of 91255 are 5, 18251. Prime factorization of 91255 in exponential form is:

91255 = 51 × 182511

Prime Factorization of 91275

Prime factors of 91275 are 3, 5, 1217. Prime factorization of 91275 in exponential form is:

91275 = 31 × 52 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 91255 and 91275.

LCM(91255,91275) = 52 × 182511 × 31 × 12171
LCM(91255,91275) = 1665860025