What is the Least Common Multiple of 16848 and 16852?

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 16848 and 16852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16848 and 16852, than apply into the LCM equation.

GCF(16848,16852) = 4
LCM(16848,16852) = ( 16848 × 16852) / 4
LCM(16848,16852) = 283922496 / 4
LCM(16848,16852) = 70980624

Least Common Multiple (LCM) of 16848 and 16852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16848 and 16852. First we will calculate the prime factors of 16848 and 16852.

Prime Factorization of 16848

Prime Factorization of 16852

Now multiplying the highest exponent prime factors to calculate the LCM of 16848 and 16852.

LCM(16848,16852) = 2⁴ × 3⁴ × 13¹ × 11¹ × 383¹
LCM(16848,16852) = 70980624