What is the Least Common Multiple of 2056 and 2076?

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 2056 and 2076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2056 and 2076, than apply into the LCM equation.

GCF(2056,2076) = 4
LCM(2056,2076) = ( 2056 × 2076) / 4
LCM(2056,2076) = 4268256 / 4
LCM(2056,2076) = 1067064

Least Common Multiple (LCM) of 2056 and 2076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2056 and 2076. First we will calculate the prime factors of 2056 and 2076.

Prime Factorization of 2056

Prime Factorization of 2076

Now multiplying the highest exponent prime factors to calculate the LCM of 2056 and 2076.

LCM(2056,2076) = 2³ × 257¹ × 3¹ × 173¹
LCM(2056,2076) = 1067064