What is the Least Common Multiple of 16184 and 16199?
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 16184 and 16199 is 262164616.
LCM(16184,16199) = 262164616
Least Common Multiple of 16184 and 16199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16184 and 16199, than apply into the LCM equation.
GCF(16184,16199) = 1
LCM(16184,16199) = ( 16184 × 16199) / 1
LCM(16184,16199) = 262164616 / 1
LCM(16184,16199) = 262164616
Least Common Multiple (LCM) of 16184 and 16199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16184 and 16199. First we will calculate the prime factors of 16184 and 16199.
Prime Factorization of 16184
Prime factors of 16184 are 2, 7, 17. Prime factorization of 16184 in exponential form is:
16184 = 23 × 71 × 172
Prime Factorization of 16199
Prime factors of 16199 are 97, 167. Prime factorization of 16199 in exponential form is:
16199 = 971 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 16184 and 16199.
LCM(16184,16199) = 23 × 71 × 172 × 971 × 1671
LCM(16184,16199) = 262164616
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