What is the Least Common Multiple of 16905 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 of 16905 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 16905 and 16912, than apply into the LCM equation.

GCF(16905,16912) = 7
LCM(16905,16912) = ( 16905 × 16912) / 7
LCM(16905,16912) = 285897360 / 7
LCM(16905,16912) = 40842480

Least Common Multiple (LCM) of 16905 and 16912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16905 and 16912. First we will calculate the prime factors of 16905 and 16912.

Prime Factorization of 16905

Prime Factorization of 16912

Now multiplying the highest exponent prime factors to calculate the LCM of 16905 and 16912.

LCM(16905,16912) = 3¹ × 5¹ × 7² × 23¹ × 2⁴ × 151¹
LCM(16905,16912) = 40842480