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What is the Least Common Multiple of 91261 and 91281?

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 91281 is 8330395341.

LCM(91261,91281) = 8330395341

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Least Common Multiple of 91261 and 91281 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 91281, than apply into the LCM equation.

GCF(91261,91281) = 1
LCM(91261,91281) = ( 91261 × 91281) / 1
LCM(91261,91281) = 8330395341 / 1
LCM(91261,91281) = 8330395341

Least Common Multiple (LCM) of 91261 and 91281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91261 and 91281. First we will calculate the prime factors of 91261 and 91281.

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 91281

Prime factors of 91281 are 3, 30427. Prime factorization of 91281 in exponential form is:

91281 = 31 × 304271

Now multiplying the highest exponent prime factors to calculate the LCM of 91261 and 91281.

LCM(91261,91281) = 2631 × 3471 × 31 × 304271
LCM(91261,91281) = 8330395341