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What is the Least Common Multiple of 93357 and 93362?

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 93357 and 93362 is 8715996234.

LCM(93357,93362) = 8715996234

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Least Common Multiple of 93357 and 93362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93357 and 93362, than apply into the LCM equation.

GCF(93357,93362) = 1
LCM(93357,93362) = ( 93357 × 93362) / 1
LCM(93357,93362) = 8715996234 / 1
LCM(93357,93362) = 8715996234

Least Common Multiple (LCM) of 93357 and 93362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93357 and 93362. First we will calculate the prime factors of 93357 and 93362.

Prime Factorization of 93357

Prime factors of 93357 are 3, 11, 23, 41. Prime factorization of 93357 in exponential form is:

93357 = 32 × 111 × 231 × 411

Prime Factorization of 93362

Prime factors of 93362 are 2, 46681. Prime factorization of 93362 in exponential form is:

93362 = 21 × 466811

Now multiplying the highest exponent prime factors to calculate the LCM of 93357 and 93362.

LCM(93357,93362) = 32 × 111 × 231 × 411 × 21 × 466811
LCM(93357,93362) = 8715996234