What is the Least Common Multiple of 18020 and 18039?
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 18020 and 18039 is 325062780.
LCM(18020,18039) = 325062780
Least Common Multiple of 18020 and 18039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18020 and 18039, than apply into the LCM equation.
GCF(18020,18039) = 1
LCM(18020,18039) = ( 18020 × 18039) / 1
LCM(18020,18039) = 325062780 / 1
LCM(18020,18039) = 325062780
Least Common Multiple (LCM) of 18020 and 18039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18020 and 18039. First we will calculate the prime factors of 18020 and 18039.
Prime Factorization of 18020
Prime factors of 18020 are 2, 5, 17, 53. Prime factorization of 18020 in exponential form is:
18020 = 22 × 51 × 171 × 531
Prime Factorization of 18039
Prime factors of 18039 are 3, 7, 859. Prime factorization of 18039 in exponential form is:
18039 = 31 × 71 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 18020 and 18039.
LCM(18020,18039) = 22 × 51 × 171 × 531 × 31 × 71 × 8591
LCM(18020,18039) = 325062780
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