What is the Least Common Multiple of 1056 and 1071?

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 1056 and 1071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1056 and 1071, than apply into the LCM equation.

GCF(1056,1071) = 3
LCM(1056,1071) = ( 1056 × 1071) / 3
LCM(1056,1071) = 1130976 / 3
LCM(1056,1071) = 376992

Least Common Multiple (LCM) of 1056 and 1071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1071. First we will calculate the prime factors of 1056 and 1071.

Prime Factorization of 1056

Prime Factorization of 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1071.

LCM(1056,1071) = 2⁵ × 3² × 11¹ × 7¹ × 17¹
LCM(1056,1071) = 376992