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What is the Least Common Multiple of 93296 and 93310?

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 93296 and 93310 is 621817840.

LCM(93296,93310) = 621817840

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Least Common Multiple of 93296 and 93310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93296 and 93310, than apply into the LCM equation.

GCF(93296,93310) = 14
LCM(93296,93310) = ( 93296 × 93310) / 14
LCM(93296,93310) = 8705449760 / 14
LCM(93296,93310) = 621817840

Least Common Multiple (LCM) of 93296 and 93310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93296 and 93310. First we will calculate the prime factors of 93296 and 93310.

Prime Factorization of 93296

Prime factors of 93296 are 2, 7, 17. Prime factorization of 93296 in exponential form is:

93296 = 24 × 73 × 171

Prime Factorization of 93310

Prime factors of 93310 are 2, 5, 7, 31, 43. Prime factorization of 93310 in exponential form is:

93310 = 21 × 51 × 71 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 93296 and 93310.

LCM(93296,93310) = 24 × 73 × 171 × 51 × 311 × 431
LCM(93296,93310) = 621817840