What is the Least Common Multiple of 16947 and 16956?

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 16947 and 16956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16947 and 16956, than apply into the LCM equation.

GCF(16947,16956) = 9
LCM(16947,16956) = ( 16947 × 16956) / 9
LCM(16947,16956) = 287353332 / 9
LCM(16947,16956) = 31928148

Least Common Multiple (LCM) of 16947 and 16956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16947 and 16956. First we will calculate the prime factors of 16947 and 16956.

Prime Factorization of 16947

Prime Factorization of 16956

Now multiplying the highest exponent prime factors to calculate the LCM of 16947 and 16956.

LCM(16947,16956) = 3³ × 7¹ × 269¹ × 2² × 157¹
LCM(16947,16956) = 31928148