What is the Least Common Multiple of 16418 and 16428?
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 16418 and 16428 is 134857452.
LCM(16418,16428) = 134857452
Least Common Multiple of 16418 and 16428 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16418 and 16428, than apply into the LCM equation.
GCF(16418,16428) = 2
LCM(16418,16428) = ( 16418 × 16428) / 2
LCM(16418,16428) = 269714904 / 2
LCM(16418,16428) = 134857452
Least Common Multiple (LCM) of 16418 and 16428 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16418 and 16428. First we will calculate the prime factors of 16418 and 16428.
Prime Factorization of 16418
Prime factors of 16418 are 2, 8209. Prime factorization of 16418 in exponential form is:
16418 = 21 × 82091
Prime Factorization of 16428
Prime factors of 16428 are 2, 3, 37. Prime factorization of 16428 in exponential form is:
16428 = 22 × 31 × 372
Now multiplying the highest exponent prime factors to calculate the LCM of 16418 and 16428.
LCM(16418,16428) = 22 × 82091 × 31 × 372
LCM(16418,16428) = 134857452
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