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What is the Least Common Multiple of 93261 and 93266?

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 93261 and 93266 is 8698080426.

LCM(93261,93266) = 8698080426

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Least Common Multiple of 93261 and 93266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93261 and 93266, than apply into the LCM equation.

GCF(93261,93266) = 1
LCM(93261,93266) = ( 93261 × 93266) / 1
LCM(93261,93266) = 8698080426 / 1
LCM(93261,93266) = 8698080426

Least Common Multiple (LCM) of 93261 and 93266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93261 and 93266. First we will calculate the prime factors of 93261 and 93266.

Prime Factorization of 93261

Prime factors of 93261 are 3, 7, 4441. Prime factorization of 93261 in exponential form is:

93261 = 31 × 71 × 44411

Prime Factorization of 93266

Prime factors of 93266 are 2, 46633. Prime factorization of 93266 in exponential form is:

93266 = 21 × 466331

Now multiplying the highest exponent prime factors to calculate the LCM of 93261 and 93266.

LCM(93261,93266) = 31 × 71 × 44411 × 21 × 466331
LCM(93261,93266) = 8698080426