What is the Least Common Multiple of 16422 and 16427?
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 16427 is 269764194.
LCM(16422,16427) = 269764194
Least Common Multiple of 16422 and 16427 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 16427, than apply into the LCM equation.
GCF(16422,16427) = 1
LCM(16422,16427) = ( 16422 × 16427) / 1
LCM(16422,16427) = 269764194 / 1
LCM(16422,16427) = 269764194
Least Common Multiple (LCM) of 16422 and 16427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16422 and 16427. First we will calculate the prime factors of 16422 and 16427.
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 16427
Prime factors of 16427 are 16427. Prime factorization of 16427 in exponential form is:
16427 = 164271
Now multiplying the highest exponent prime factors to calculate the LCM of 16422 and 16427.
LCM(16422,16427) = 21 × 31 × 71 × 171 × 231 × 164271
LCM(16422,16427) = 269764194
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