What is the Least Common Multiple of 16161 and 16177?
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 16161 and 16177 is 261436497.
LCM(16161,16177) = 261436497
Least Common Multiple of 16161 and 16177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16161 and 16177, than apply into the LCM equation.
GCF(16161,16177) = 1
LCM(16161,16177) = ( 16161 × 16177) / 1
LCM(16161,16177) = 261436497 / 1
LCM(16161,16177) = 261436497
Least Common Multiple (LCM) of 16161 and 16177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16161 and 16177. First we will calculate the prime factors of 16161 and 16177.
Prime Factorization of 16161
Prime factors of 16161 are 3, 5387. Prime factorization of 16161 in exponential form is:
16161 = 31 × 53871
Prime Factorization of 16177
Prime factors of 16177 are 7, 2311. Prime factorization of 16177 in exponential form is:
16177 = 71 × 23111
Now multiplying the highest exponent prime factors to calculate the LCM of 16161 and 16177.
LCM(16161,16177) = 31 × 53871 × 71 × 23111
LCM(16161,16177) = 261436497
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