What is the Least Common Multiple of 18026 and 18041?
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 18026 and 18041 is 325207066.
LCM(18026,18041) = 325207066
Least Common Multiple of 18026 and 18041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18026 and 18041, than apply into the LCM equation.
GCF(18026,18041) = 1
LCM(18026,18041) = ( 18026 × 18041) / 1
LCM(18026,18041) = 325207066 / 1
LCM(18026,18041) = 325207066
Least Common Multiple (LCM) of 18026 and 18041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18026 and 18041. First we will calculate the prime factors of 18026 and 18041.
Prime Factorization of 18026
Prime factors of 18026 are 2, 9013. Prime factorization of 18026 in exponential form is:
18026 = 21 × 90131
Prime Factorization of 18041
Prime factors of 18041 are 18041. Prime factorization of 18041 in exponential form is:
18041 = 180411
Now multiplying the highest exponent prime factors to calculate the LCM of 18026 and 18041.
LCM(18026,18041) = 21 × 90131 × 180411
LCM(18026,18041) = 325207066
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