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What is the Least Common Multiple of 93306 and 93316?

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 93306 and 93316 is 4353471348.

LCM(93306,93316) = 4353471348

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Least Common Multiple of 93306 and 93316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93306 and 93316, than apply into the LCM equation.

GCF(93306,93316) = 2
LCM(93306,93316) = ( 93306 × 93316) / 2
LCM(93306,93316) = 8706942696 / 2
LCM(93306,93316) = 4353471348

Least Common Multiple (LCM) of 93306 and 93316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93306 and 93316. First we will calculate the prime factors of 93306 and 93316.

Prime Factorization of 93306

Prime factors of 93306 are 2, 3, 15551. Prime factorization of 93306 in exponential form is:

93306 = 21 × 31 × 155511

Prime Factorization of 93316

Prime factors of 93316 are 2, 41, 569. Prime factorization of 93316 in exponential form is:

93316 = 22 × 411 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 93306 and 93316.

LCM(93306,93316) = 22 × 31 × 155511 × 411 × 5691
LCM(93306,93316) = 4353471348