What is the Least Common Multiple of 16734 and 16752?

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 16734 and 16752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16734 and 16752, than apply into the LCM equation.

GCF(16734,16752) = 6
LCM(16734,16752) = ( 16734 × 16752) / 6
LCM(16734,16752) = 280327968 / 6
LCM(16734,16752) = 46721328

Least Common Multiple (LCM) of 16734 and 16752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16734 and 16752. First we will calculate the prime factors of 16734 and 16752.

Prime Factorization of 16734

Prime Factorization of 16752

Now multiplying the highest exponent prime factors to calculate the LCM of 16734 and 16752.

LCM(16734,16752) = 2⁴ × 3¹ × 2789¹ × 349¹
LCM(16734,16752) = 46721328