What is the Least Common Multiple of 1052 and 1056?

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 1052 and 1056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1052 and 1056, than apply into the LCM equation.

GCF(1052,1056) = 4
LCM(1052,1056) = ( 1052 × 1056) / 4
LCM(1052,1056) = 1110912 / 4
LCM(1052,1056) = 277728

Least Common Multiple (LCM) of 1052 and 1056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1056. First we will calculate the prime factors of 1052 and 1056.

Prime Factorization of 1052

Prime Factorization of 1056

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1056.

LCM(1052,1056) = 2⁵ × 263¹ × 3¹ × 11¹
LCM(1052,1056) = 277728