What is the Least Common Multiple of 16266 and 16278?

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 16266 and 16278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16266 and 16278, than apply into the LCM equation.

GCF(16266,16278) = 6
LCM(16266,16278) = ( 16266 × 16278) / 6
LCM(16266,16278) = 264777948 / 6
LCM(16266,16278) = 44129658

Least Common Multiple (LCM) of 16266 and 16278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16266 and 16278. First we will calculate the prime factors of 16266 and 16278.

Prime Factorization of 16266

Prime Factorization of 16278

Now multiplying the highest exponent prime factors to calculate the LCM of 16266 and 16278.

LCM(16266,16278) = 2¹ × 3¹ × 2711¹ × 2713¹
LCM(16266,16278) = 44129658