What is the Least Common Multiple of 9287 and 9293?
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 9287 and 9293 is 86304091.
LCM(9287,9293) = 86304091
Least Common Multiple of 9287 and 9293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9287 and 9293, than apply into the LCM equation.
GCF(9287,9293) = 1
LCM(9287,9293) = ( 9287 × 9293) / 1
LCM(9287,9293) = 86304091 / 1
LCM(9287,9293) = 86304091
Least Common Multiple (LCM) of 9287 and 9293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9287 and 9293. First we will calculate the prime factors of 9287 and 9293.
Prime Factorization of 9287
Prime factors of 9287 are 37, 251. Prime factorization of 9287 in exponential form is:
9287 = 371 × 2511
Prime Factorization of 9293
Prime factors of 9293 are 9293. Prime factorization of 9293 in exponential form is:
9293 = 92931
Now multiplying the highest exponent prime factors to calculate the LCM of 9287 and 9293.
LCM(9287,9293) = 371 × 2511 × 92931
LCM(9287,9293) = 86304091
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