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What is the Least Common Multiple of 91255 and 91273?

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 91273 is 8329117615.

LCM(91255,91273) = 8329117615

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Least Common Multiple of 91255 and 91273 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 91273, than apply into the LCM equation.

GCF(91255,91273) = 1
LCM(91255,91273) = ( 91255 × 91273) / 1
LCM(91255,91273) = 8329117615 / 1
LCM(91255,91273) = 8329117615

Least Common Multiple (LCM) of 91255 and 91273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91255 and 91273. First we will calculate the prime factors of 91255 and 91273.

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 91273

Prime factors of 91273 are 7, 13, 17, 59. Prime factorization of 91273 in exponential form is:

91273 = 71 × 131 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 91255 and 91273.

LCM(91255,91273) = 51 × 182511 × 71 × 131 × 171 × 591
LCM(91255,91273) = 8329117615