What is the Least Common Multiple of 16788 and 16796?

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 16788 and 16796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16788 and 16796, than apply into the LCM equation.

GCF(16788,16796) = 4
LCM(16788,16796) = ( 16788 × 16796) / 4
LCM(16788,16796) = 281971248 / 4
LCM(16788,16796) = 70492812

Least Common Multiple (LCM) of 16788 and 16796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16788 and 16796. First we will calculate the prime factors of 16788 and 16796.

Prime Factorization of 16788

Prime Factorization of 16796

Now multiplying the highest exponent prime factors to calculate the LCM of 16788 and 16796.

LCM(16788,16796) = 2² × 3¹ × 1399¹ × 13¹ × 17¹ × 19¹
LCM(16788,16796) = 70492812