What is the Least Common Multiple of 16809 and 16824?
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 16809 and 16824 is 94264872.
LCM(16809,16824) = 94264872
Least Common Multiple of 16809 and 16824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16809 and 16824, than apply into the LCM equation.
GCF(16809,16824) = 3
LCM(16809,16824) = ( 16809 × 16824) / 3
LCM(16809,16824) = 282794616 / 3
LCM(16809,16824) = 94264872
Least Common Multiple (LCM) of 16809 and 16824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16809 and 16824. First we will calculate the prime factors of 16809 and 16824.
Prime Factorization of 16809
Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:
16809 = 31 × 131 × 4311
Prime Factorization of 16824
Prime factors of 16824 are 2, 3, 701. Prime factorization of 16824 in exponential form is:
16824 = 23 × 31 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 16809 and 16824.
LCM(16809,16824) = 31 × 131 × 4311 × 23 × 7011
LCM(16809,16824) = 94264872
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