What is the Least Common Multiple of 1123 and 1138?

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 1123 and 1138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1123 and 1138, than apply into the LCM equation.

GCF(1123,1138) = 1
LCM(1123,1138) = ( 1123 × 1138) / 1
LCM(1123,1138) = 1277974 / 1
LCM(1123,1138) = 1277974

Least Common Multiple (LCM) of 1123 and 1138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1123 and 1138. First we will calculate the prime factors of 1123 and 1138.

Prime Factorization of 1123

Prime Factorization of 1138

Now multiplying the highest exponent prime factors to calculate the LCM of 1123 and 1138.

LCM(1123,1138) = 1123¹ × 2¹ × 569¹
LCM(1123,1138) = 1277974