What is the Least Common Multiple of 16407 and 16423?
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 16407 and 16423 is 269452161.
LCM(16407,16423) = 269452161
Least Common Multiple of 16407 and 16423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16407 and 16423, than apply into the LCM equation.
GCF(16407,16423) = 1
LCM(16407,16423) = ( 16407 × 16423) / 1
LCM(16407,16423) = 269452161 / 1
LCM(16407,16423) = 269452161
Least Common Multiple (LCM) of 16407 and 16423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16407 and 16423. First we will calculate the prime factors of 16407 and 16423.
Prime Factorization of 16407
Prime factors of 16407 are 3, 1823. Prime factorization of 16407 in exponential form is:
16407 = 32 × 18231
Prime Factorization of 16423
Prime factors of 16423 are 11, 1493. Prime factorization of 16423 in exponential form is:
16423 = 111 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 16407 and 16423.
LCM(16407,16423) = 32 × 18231 × 111 × 14931
LCM(16407,16423) = 269452161
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