What is the Least Common Multiple of 16905 and 16914?

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 16914 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 16914, than apply into the LCM equation.

GCF(16905,16914) = 3
LCM(16905,16914) = ( 16905 × 16914) / 3
LCM(16905,16914) = 285931170 / 3
LCM(16905,16914) = 95310390

Least Common Multiple (LCM) of 16905 and 16914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16905 and 16914. First we will calculate the prime factors of 16905 and 16914.

Prime Factorization of 16905

Prime Factorization of 16914

Now multiplying the highest exponent prime factors to calculate the LCM of 16905 and 16914.

LCM(16905,16914) = 3¹ × 5¹ × 7² × 23¹ × 2¹ × 2819¹
LCM(16905,16914) = 95310390