What is the Least Common Multiple of 16107 and 16116?

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 16107 and 16116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16107 and 16116, than apply into the LCM equation.

GCF(16107,16116) = 3
LCM(16107,16116) = ( 16107 × 16116) / 3
LCM(16107,16116) = 259580412 / 3
LCM(16107,16116) = 86526804

Least Common Multiple (LCM) of 16107 and 16116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16107 and 16116. First we will calculate the prime factors of 16107 and 16116.

Prime Factorization of 16107

Prime Factorization of 16116

Now multiplying the highest exponent prime factors to calculate the LCM of 16107 and 16116.

LCM(16107,16116) = 3¹ × 7¹ × 13¹ × 59¹ × 2² × 17¹ × 79¹
LCM(16107,16116) = 86526804