What is the Least Common Multiple of 16105 and 16122?

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 16105 and 16122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16105 and 16122, than apply into the LCM equation.

GCF(16105,16122) = 1
LCM(16105,16122) = ( 16105 × 16122) / 1
LCM(16105,16122) = 259644810 / 1
LCM(16105,16122) = 259644810

Least Common Multiple (LCM) of 16105 and 16122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16105 and 16122. First we will calculate the prime factors of 16105 and 16122.

Prime Factorization of 16105

Prime Factorization of 16122

Now multiplying the highest exponent prime factors to calculate the LCM of 16105 and 16122.

LCM(16105,16122) = 5¹ × 3221¹ × 2¹ × 3¹ × 2687¹
LCM(16105,16122) = 259644810