What is the Least Common Multiple of 1056 and 1067?

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 1067 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 1067, than apply into the LCM equation.

GCF(1056,1067) = 11
LCM(1056,1067) = ( 1056 × 1067) / 11
LCM(1056,1067) = 1126752 / 11
LCM(1056,1067) = 102432

Least Common Multiple (LCM) of 1056 and 1067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1067. First we will calculate the prime factors of 1056 and 1067.

Prime Factorization of 1056

Prime Factorization of 1067

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1067.

LCM(1056,1067) = 2⁵ × 3¹ × 11¹ × 97¹
LCM(1056,1067) = 102432