What is the Least Common Multiple of 16914 and 16932?

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 16914 and 16932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16914 and 16932, than apply into the LCM equation.

GCF(16914,16932) = 6
LCM(16914,16932) = ( 16914 × 16932) / 6
LCM(16914,16932) = 286387848 / 6
LCM(16914,16932) = 47731308

Least Common Multiple (LCM) of 16914 and 16932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16914 and 16932. First we will calculate the prime factors of 16914 and 16932.

Prime Factorization of 16914

Prime Factorization of 16932

Now multiplying the highest exponent prime factors to calculate the LCM of 16914 and 16932.

LCM(16914,16932) = 2² × 3¹ × 2819¹ × 17¹ × 83¹
LCM(16914,16932) = 47731308