What is the Least Common Multiple of 1128 and 1139?

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 1139 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 1139, than apply into the LCM equation.

GCF(1128,1139) = 1
LCM(1128,1139) = ( 1128 × 1139) / 1
LCM(1128,1139) = 1284792 / 1
LCM(1128,1139) = 1284792

Least Common Multiple (LCM) of 1128 and 1139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1128 and 1139. First we will calculate the prime factors of 1128 and 1139.

Prime Factorization of 1128

Prime Factorization of 1139

Now multiplying the highest exponent prime factors to calculate the LCM of 1128 and 1139.

LCM(1128,1139) = 2³ × 3¹ × 47¹ × 17¹ × 67¹
LCM(1128,1139) = 1284792