What is the Least Common Multiple of 18067 and 18073?
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 18067 and 18073 is 326524891.
LCM(18067,18073) = 326524891
Least Common Multiple of 18067 and 18073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18067 and 18073, than apply into the LCM equation.
GCF(18067,18073) = 1
LCM(18067,18073) = ( 18067 × 18073) / 1
LCM(18067,18073) = 326524891 / 1
LCM(18067,18073) = 326524891
Least Common Multiple (LCM) of 18067 and 18073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18067 and 18073. First we will calculate the prime factors of 18067 and 18073.
Prime Factorization of 18067
Prime factors of 18067 are 7, 29, 89. Prime factorization of 18067 in exponential form is:
18067 = 71 × 291 × 891
Prime Factorization of 18073
Prime factors of 18073 are 11, 31, 53. Prime factorization of 18073 in exponential form is:
18073 = 111 × 311 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 18067 and 18073.
LCM(18067,18073) = 71 × 291 × 891 × 111 × 311 × 531
LCM(18067,18073) = 326524891
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