What is the Least Common Multiple of 2047 and 2057?

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 2047 and 2057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2047 and 2057, than apply into the LCM equation.

GCF(2047,2057) = 1
LCM(2047,2057) = ( 2047 × 2057) / 1
LCM(2047,2057) = 4210679 / 1
LCM(2047,2057) = 4210679

Least Common Multiple (LCM) of 2047 and 2057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2047 and 2057. First we will calculate the prime factors of 2047 and 2057.

Prime Factorization of 2047

Prime Factorization of 2057

Now multiplying the highest exponent prime factors to calculate the LCM of 2047 and 2057.

LCM(2047,2057) = 23¹ × 89¹ × 11² × 17¹
LCM(2047,2057) = 4210679