What is the Least Common Multiple of 93026 and 93041?
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 93026 and 93041 is 8655232066.
LCM(93026,93041) = 8655232066
Least Common Multiple of 93026 and 93041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93026 and 93041, than apply into the LCM equation.
GCF(93026,93041) = 1
LCM(93026,93041) = ( 93026 × 93041) / 1
LCM(93026,93041) = 8655232066 / 1
LCM(93026,93041) = 8655232066
Least Common Multiple (LCM) of 93026 and 93041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93026 and 93041. First we will calculate the prime factors of 93026 and 93041.
Prime Factorization of 93026
Prime factors of 93026 are 2, 193, 241. Prime factorization of 93026 in exponential form is:
93026 = 21 × 1931 × 2411
Prime Factorization of 93041
Prime factors of 93041 are 13, 17, 421. Prime factorization of 93041 in exponential form is:
93041 = 131 × 171 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 93026 and 93041.
LCM(93026,93041) = 21 × 1931 × 2411 × 131 × 171 × 4211
LCM(93026,93041) = 8655232066
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