What is the Least Common Multiple of 18047 and 18067?
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 18047 and 18067 is 326055149.
LCM(18047,18067) = 326055149
Least Common Multiple of 18047 and 18067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18047 and 18067, than apply into the LCM equation.
GCF(18047,18067) = 1
LCM(18047,18067) = ( 18047 × 18067) / 1
LCM(18047,18067) = 326055149 / 1
LCM(18047,18067) = 326055149
Least Common Multiple (LCM) of 18047 and 18067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18047 and 18067. First we will calculate the prime factors of 18047 and 18067.
Prime Factorization of 18047
Prime factors of 18047 are 18047. Prime factorization of 18047 in exponential form is:
18047 = 180471
Prime Factorization of 18067
Prime factors of 18067 are 7, 29, 89. Prime factorization of 18067 in exponential form is:
18067 = 71 × 291 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 18047 and 18067.
LCM(18047,18067) = 180471 × 71 × 291 × 891
LCM(18047,18067) = 326055149
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