What is the Least Common Multiple of 93267 and 93286?
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 93267 and 93286 is 8700505362.
LCM(93267,93286) = 8700505362
Least Common Multiple of 93267 and 93286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93267 and 93286, than apply into the LCM equation.
GCF(93267,93286) = 1
LCM(93267,93286) = ( 93267 × 93286) / 1
LCM(93267,93286) = 8700505362 / 1
LCM(93267,93286) = 8700505362
Least Common Multiple (LCM) of 93267 and 93286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93267 and 93286. First we will calculate the prime factors of 93267 and 93286.
Prime Factorization of 93267
Prime factors of 93267 are 3, 43, 241. Prime factorization of 93267 in exponential form is:
93267 = 32 × 431 × 2411
Prime Factorization of 93286
Prime factors of 93286 are 2, 46643. Prime factorization of 93286 in exponential form is:
93286 = 21 × 466431
Now multiplying the highest exponent prime factors to calculate the LCM of 93267 and 93286.
LCM(93267,93286) = 32 × 431 × 2411 × 21 × 466431
LCM(93267,93286) = 8700505362
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