What is the Least Common Multiple of 2049 and 2061?

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 2049 and 2061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2049 and 2061, than apply into the LCM equation.

GCF(2049,2061) = 3
LCM(2049,2061) = ( 2049 × 2061) / 3
LCM(2049,2061) = 4222989 / 3
LCM(2049,2061) = 1407663

Least Common Multiple (LCM) of 2049 and 2061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2049 and 2061. First we will calculate the prime factors of 2049 and 2061.

Prime Factorization of 2049

Prime Factorization of 2061

Now multiplying the highest exponent prime factors to calculate the LCM of 2049 and 2061.

LCM(2049,2061) = 3² × 683¹ × 229¹
LCM(2049,2061) = 1407663