What is the Least Common Multiple of 1128 and 1136?

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 1128 and 1136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1128 and 1136, than apply into the LCM equation.

GCF(1128,1136) = 8
LCM(1128,1136) = ( 1128 × 1136) / 8
LCM(1128,1136) = 1281408 / 8
LCM(1128,1136) = 160176

Least Common Multiple (LCM) of 1128 and 1136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1136. First we will calculate the prime factors of 1128 and 1136.

Prime Factorization of 1128

Prime Factorization of 1136

Now multiplying the highest exponent prime factors to calculate the LCM of 1128 and 1136.

LCM(1128,1136) = 2⁴ × 3¹ × 47¹ × 71¹
LCM(1128,1136) = 160176