What is the Least Common Multiple of 1108 and 1126?

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 1108 and 1126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1108 and 1126, than apply into the LCM equation.

GCF(1108,1126) = 2
LCM(1108,1126) = ( 1108 × 1126) / 2
LCM(1108,1126) = 1247608 / 2
LCM(1108,1126) = 623804

Least Common Multiple (LCM) of 1108 and 1126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1108 and 1126. First we will calculate the prime factors of 1108 and 1126.

Prime Factorization of 1108

Prime Factorization of 1126

Now multiplying the highest exponent prime factors to calculate the LCM of 1108 and 1126.

LCM(1108,1126) = 2² × 277¹ × 563¹
LCM(1108,1126) = 623804