What is the Least Common Multiple of 18320 and 18326?
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 18320 and 18326 is 167866160.
LCM(18320,18326) = 167866160
Least Common Multiple of 18320 and 18326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18320 and 18326, than apply into the LCM equation.
GCF(18320,18326) = 2
LCM(18320,18326) = ( 18320 × 18326) / 2
LCM(18320,18326) = 335732320 / 2
LCM(18320,18326) = 167866160
Least Common Multiple (LCM) of 18320 and 18326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18320 and 18326. First we will calculate the prime factors of 18320 and 18326.
Prime Factorization of 18320
Prime factors of 18320 are 2, 5, 229. Prime factorization of 18320 in exponential form is:
18320 = 24 × 51 × 2291
Prime Factorization of 18326
Prime factors of 18326 are 2, 7, 11, 17. Prime factorization of 18326 in exponential form is:
18326 = 21 × 72 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 18320 and 18326.
LCM(18320,18326) = 24 × 51 × 2291 × 72 × 111 × 171
LCM(18320,18326) = 167866160
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