What is the Least Common Multiple of 16752 and 16756?

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 16756 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 16756, than apply into the LCM equation.

GCF(16752,16756) = 4
LCM(16752,16756) = ( 16752 × 16756) / 4
LCM(16752,16756) = 280696512 / 4
LCM(16752,16756) = 70174128

Least Common Multiple (LCM) of 16752 and 16756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16752 and 16756. First we will calculate the prime factors of 16752 and 16756.

Prime Factorization of 16752

Prime Factorization of 16756

Now multiplying the highest exponent prime factors to calculate the LCM of 16752 and 16756.

LCM(16752,16756) = 2⁴ × 3¹ × 349¹ × 59¹ × 71¹
LCM(16752,16756) = 70174128