What is the Least Common Multiple of 16752 and 16758?

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 16752 and 16758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16752 and 16758, than apply into the LCM equation.

GCF(16752,16758) = 6
LCM(16752,16758) = ( 16752 × 16758) / 6
LCM(16752,16758) = 280730016 / 6
LCM(16752,16758) = 46788336

Least Common Multiple (LCM) of 16752 and 16758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16752 and 16758. First we will calculate the prime factors of 16752 and 16758.

Prime Factorization of 16752

Prime Factorization of 16758

Now multiplying the highest exponent prime factors to calculate the LCM of 16752 and 16758.

LCM(16752,16758) = 2⁴ × 3² × 349¹ × 7² × 19¹
LCM(16752,16758) = 46788336