What is the Least Common Multiple of 93268 and 93279?
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 93268 and 93279 is 8699945772.
LCM(93268,93279) = 8699945772
Least Common Multiple of 93268 and 93279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93268 and 93279, than apply into the LCM equation.
GCF(93268,93279) = 1
LCM(93268,93279) = ( 93268 × 93279) / 1
LCM(93268,93279) = 8699945772 / 1
LCM(93268,93279) = 8699945772
Least Common Multiple (LCM) of 93268 and 93279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93268 and 93279. First we will calculate the prime factors of 93268 and 93279.
Prime Factorization of 93268
Prime factors of 93268 are 2, 7, 3331. Prime factorization of 93268 in exponential form is:
93268 = 22 × 71 × 33311
Prime Factorization of 93279
Prime factors of 93279 are 3, 17, 31, 59. Prime factorization of 93279 in exponential form is:
93279 = 31 × 171 × 311 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 93268 and 93279.
LCM(93268,93279) = 22 × 71 × 33311 × 31 × 171 × 311 × 591
LCM(93268,93279) = 8699945772
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