What is the Least Common Multiple of 18340 and 18348?
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 18340 and 18348 is 84125580.
LCM(18340,18348) = 84125580
Least Common Multiple of 18340 and 18348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18340 and 18348, than apply into the LCM equation.
GCF(18340,18348) = 4
LCM(18340,18348) = ( 18340 × 18348) / 4
LCM(18340,18348) = 336502320 / 4
LCM(18340,18348) = 84125580
Least Common Multiple (LCM) of 18340 and 18348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18340 and 18348. First we will calculate the prime factors of 18340 and 18348.
Prime Factorization of 18340
Prime factors of 18340 are 2, 5, 7, 131. Prime factorization of 18340 in exponential form is:
18340 = 22 × 51 × 71 × 1311
Prime Factorization of 18348
Prime factors of 18348 are 2, 3, 11, 139. Prime factorization of 18348 in exponential form is:
18348 = 22 × 31 × 111 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 18340 and 18348.
LCM(18340,18348) = 22 × 51 × 71 × 1311 × 31 × 111 × 1391
LCM(18340,18348) = 84125580
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