What is the Least Common Multiple of 16366 and 16371?
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 16366 and 16371 is 267927786.
LCM(16366,16371) = 267927786
Least Common Multiple of 16366 and 16371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16366 and 16371, than apply into the LCM equation.
GCF(16366,16371) = 1
LCM(16366,16371) = ( 16366 × 16371) / 1
LCM(16366,16371) = 267927786 / 1
LCM(16366,16371) = 267927786
Least Common Multiple (LCM) of 16366 and 16371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16366 and 16371. First we will calculate the prime factors of 16366 and 16371.
Prime Factorization of 16366
Prime factors of 16366 are 2, 7, 167. Prime factorization of 16366 in exponential form is:
16366 = 21 × 72 × 1671
Prime Factorization of 16371
Prime factors of 16371 are 3, 17, 107. Prime factorization of 16371 in exponential form is:
16371 = 32 × 171 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 16366 and 16371.
LCM(16366,16371) = 21 × 72 × 1671 × 32 × 171 × 1071
LCM(16366,16371) = 267927786
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