What is the Least Common Multiple of 1056 and 1076?

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 1076 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 1076, than apply into the LCM equation.

GCF(1056,1076) = 4
LCM(1056,1076) = ( 1056 × 1076) / 4
LCM(1056,1076) = 1136256 / 4
LCM(1056,1076) = 284064

Least Common Multiple (LCM) of 1056 and 1076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1076. First we will calculate the prime factors of 1056 and 1076.

Prime Factorization of 1056

Prime Factorization of 1076

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1076.

LCM(1056,1076) = 2⁵ × 3¹ × 11¹ × 269¹
LCM(1056,1076) = 284064