What is the Least Common Multiple of 1109 and 1128?

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 1109 and 1128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1109 and 1128, than apply into the LCM equation.

GCF(1109,1128) = 1
LCM(1109,1128) = ( 1109 × 1128) / 1
LCM(1109,1128) = 1250952 / 1
LCM(1109,1128) = 1250952

Least Common Multiple (LCM) of 1109 and 1128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1109 and 1128. First we will calculate the prime factors of 1109 and 1128.

Prime Factorization of 1109

Prime Factorization of 1128

Now multiplying the highest exponent prime factors to calculate the LCM of 1109 and 1128.

LCM(1109,1128) = 1109¹ × 2³ × 3¹ × 47¹
LCM(1109,1128) = 1250952