What is the Least Common Multiple of 18052 and 18071?
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 18052 and 18071 is 326217692.
LCM(18052,18071) = 326217692
Least Common Multiple of 18052 and 18071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18052 and 18071, than apply into the LCM equation.
GCF(18052,18071) = 1
LCM(18052,18071) = ( 18052 × 18071) / 1
LCM(18052,18071) = 326217692 / 1
LCM(18052,18071) = 326217692
Least Common Multiple (LCM) of 18052 and 18071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18052 and 18071. First we will calculate the prime factors of 18052 and 18071.
Prime Factorization of 18052
Prime factors of 18052 are 2, 4513. Prime factorization of 18052 in exponential form is:
18052 = 22 × 45131
Prime Factorization of 18071
Prime factors of 18071 are 17, 1063. Prime factorization of 18071 in exponential form is:
18071 = 171 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 18052 and 18071.
LCM(18052,18071) = 22 × 45131 × 171 × 10631
LCM(18052,18071) = 326217692
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