What is the Least Common Multiple of 16343 and 16361?
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 16343 and 16361 is 267387823.
LCM(16343,16361) = 267387823
Least Common Multiple of 16343 and 16361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16343 and 16361, than apply into the LCM equation.
GCF(16343,16361) = 1
LCM(16343,16361) = ( 16343 × 16361) / 1
LCM(16343,16361) = 267387823 / 1
LCM(16343,16361) = 267387823
Least Common Multiple (LCM) of 16343 and 16361 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16343 and 16361. First we will calculate the prime factors of 16343 and 16361.
Prime Factorization of 16343
Prime factors of 16343 are 59, 277. Prime factorization of 16343 in exponential form is:
16343 = 591 × 2771
Prime Factorization of 16361
Prime factors of 16361 are 16361. Prime factorization of 16361 in exponential form is:
16361 = 163611
Now multiplying the highest exponent prime factors to calculate the LCM of 16343 and 16361.
LCM(16343,16361) = 591 × 2771 × 163611
LCM(16343,16361) = 267387823
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