What is the Least Common Multiple of 93277 and 93289?
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 93277 and 93289 is 8701718053.
LCM(93277,93289) = 8701718053
Least Common Multiple of 93277 and 93289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93277 and 93289, than apply into the LCM equation.
GCF(93277,93289) = 1
LCM(93277,93289) = ( 93277 × 93289) / 1
LCM(93277,93289) = 8701718053 / 1
LCM(93277,93289) = 8701718053
Least Common Multiple (LCM) of 93277 and 93289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93277 and 93289. First we will calculate the prime factors of 93277 and 93289.
Prime Factorization of 93277
Prime factors of 93277 are 37, 2521. Prime factorization of 93277 in exponential form is:
93277 = 371 × 25211
Prime Factorization of 93289
Prime factors of 93289 are 7, 13327. Prime factorization of 93289 in exponential form is:
93289 = 71 × 133271
Now multiplying the highest exponent prime factors to calculate the LCM of 93277 and 93289.
LCM(93277,93289) = 371 × 25211 × 71 × 133271
LCM(93277,93289) = 8701718053
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