What is the Least Common Multiple of 16896 and 16912?
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 16896 and 16912 is 17859072.
LCM(16896,16912) = 17859072
Least Common Multiple of 16896 and 16912 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16896 and 16912, than apply into the LCM equation.
GCF(16896,16912) = 16
LCM(16896,16912) = ( 16896 × 16912) / 16
LCM(16896,16912) = 285745152 / 16
LCM(16896,16912) = 17859072
Least Common Multiple (LCM) of 16896 and 16912 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16896 and 16912. First we will calculate the prime factors of 16896 and 16912.
Prime Factorization of 16896
Prime factors of 16896 are 2, 3, 11. Prime factorization of 16896 in exponential form is:
16896 = 29 × 31 × 111
Prime Factorization of 16912
Prime factors of 16912 are 2, 7, 151. Prime factorization of 16912 in exponential form is:
16912 = 24 × 71 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 16896 and 16912.
LCM(16896,16912) = 29 × 31 × 111 × 71 × 1511
LCM(16896,16912) = 17859072
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