What is the Least Common Multiple of 16341 and 16358?
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 16341 and 16358 is 267306078.
LCM(16341,16358) = 267306078
Least Common Multiple of 16341 and 16358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16341 and 16358, than apply into the LCM equation.
GCF(16341,16358) = 1
LCM(16341,16358) = ( 16341 × 16358) / 1
LCM(16341,16358) = 267306078 / 1
LCM(16341,16358) = 267306078
Least Common Multiple (LCM) of 16341 and 16358 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16341 and 16358. First we will calculate the prime factors of 16341 and 16358.
Prime Factorization of 16341
Prime factors of 16341 are 3, 13, 419. Prime factorization of 16341 in exponential form is:
16341 = 31 × 131 × 4191
Prime Factorization of 16358
Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:
16358 = 21 × 81791
Now multiplying the highest exponent prime factors to calculate the LCM of 16341 and 16358.
LCM(16341,16358) = 31 × 131 × 4191 × 21 × 81791
LCM(16341,16358) = 267306078
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