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What is the Least Common Multiple of 91261 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 91261 and 91273 is 8329665253.

LCM(91261,91273) = 8329665253

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Least Common Multiple of 91261 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 91261 and 91273, than apply into the LCM equation.

GCF(91261,91273) = 1
LCM(91261,91273) = ( 91261 × 91273) / 1
LCM(91261,91273) = 8329665253 / 1
LCM(91261,91273) = 8329665253

Least Common Multiple (LCM) of 91261 and 91273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91261 and 91273. First we will calculate the prime factors of 91261 and 91273.

Prime Factorization of 91261

Prime factors of 91261 are 263, 347. Prime factorization of 91261 in exponential form is:

91261 = 2631 × 3471

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 91261 and 91273.

LCM(91261,91273) = 2631 × 3471 × 71 × 131 × 171 × 591
LCM(91261,91273) = 8329665253