What is the Least Common Multiple of 1056 and 1066?

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 1066 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 1066, than apply into the LCM equation.

GCF(1056,1066) = 2
LCM(1056,1066) = ( 1056 × 1066) / 2
LCM(1056,1066) = 1125696 / 2
LCM(1056,1066) = 562848

Least Common Multiple (LCM) of 1056 and 1066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1066. First we will calculate the prime factors of 1056 and 1066.

Prime Factorization of 1056

Prime Factorization of 1066

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1066.

LCM(1056,1066) = 2⁵ × 3¹ × 11¹ × 13¹ × 41¹
LCM(1056,1066) = 562848