What is the Least Common Multiple of 16351 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 16351 and 16358 is 267469658.
LCM(16351,16358) = 267469658
Least Common Multiple of 16351 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 16351 and 16358, than apply into the LCM equation.
GCF(16351,16358) = 1
LCM(16351,16358) = ( 16351 × 16358) / 1
LCM(16351,16358) = 267469658 / 1
LCM(16351,16358) = 267469658
Least Common Multiple (LCM) of 16351 and 16358 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16351 and 16358. First we will calculate the prime factors of 16351 and 16358.
Prime Factorization of 16351
Prime factors of 16351 are 83, 197. Prime factorization of 16351 in exponential form is:
16351 = 831 × 1971
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 16351 and 16358.
LCM(16351,16358) = 831 × 1971 × 21 × 81791
LCM(16351,16358) = 267469658
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