What is the Least Common Multiple of 16896 and 16905?

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 of 16896 and 16905 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 16905, than apply into the LCM equation.

GCF(16896,16905) = 3
LCM(16896,16905) = ( 16896 × 16905) / 3
LCM(16896,16905) = 285626880 / 3
LCM(16896,16905) = 95208960

Least Common Multiple (LCM) of 16896 and 16905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16896 and 16905. First we will calculate the prime factors of 16896 and 16905.

Prime Factorization of 16896

Prime Factorization of 16905

Now multiplying the highest exponent prime factors to calculate the LCM of 16896 and 16905.

LCM(16896,16905) = 2⁹ × 3¹ × 11¹ × 5¹ × 7² × 23¹
LCM(16896,16905) = 95208960