What is the Least Common Multiple of 2144 and 2162?

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 2144 and 2162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2144 and 2162, than apply into the LCM equation.

GCF(2144,2162) = 2
LCM(2144,2162) = ( 2144 × 2162) / 2
LCM(2144,2162) = 4635328 / 2
LCM(2144,2162) = 2317664

Least Common Multiple (LCM) of 2144 and 2162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2144 and 2162. First we will calculate the prime factors of 2144 and 2162.

Prime Factorization of 2144

Prime Factorization of 2162

Now multiplying the highest exponent prime factors to calculate the LCM of 2144 and 2162.

LCM(2144,2162) = 2⁵ × 67¹ × 23¹ × 47¹
LCM(2144,2162) = 2317664