What is the Least Common Multiple of 16422 and 16441?
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 16422 and 16441 is 269994102.
LCM(16422,16441) = 269994102
Least Common Multiple of 16422 and 16441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16422 and 16441, than apply into the LCM equation.
GCF(16422,16441) = 1
LCM(16422,16441) = ( 16422 × 16441) / 1
LCM(16422,16441) = 269994102 / 1
LCM(16422,16441) = 269994102
Least Common Multiple (LCM) of 16422 and 16441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16422 and 16441. First we will calculate the prime factors of 16422 and 16441.
Prime Factorization of 16422
Prime factors of 16422 are 2, 3, 7, 17, 23. Prime factorization of 16422 in exponential form is:
16422 = 21 × 31 × 71 × 171 × 231
Prime Factorization of 16441
Prime factors of 16441 are 41, 401. Prime factorization of 16441 in exponential form is:
16441 = 411 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 16422 and 16441.
LCM(16422,16441) = 21 × 31 × 71 × 171 × 231 × 411 × 4011
LCM(16422,16441) = 269994102
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