What is the Least Common Multiple of 1084 and 1099?

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 1084 and 1099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1084 and 1099, than apply into the LCM equation.

GCF(1084,1099) = 1
LCM(1084,1099) = ( 1084 × 1099) / 1
LCM(1084,1099) = 1191316 / 1
LCM(1084,1099) = 1191316

Least Common Multiple (LCM) of 1084 and 1099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1084 and 1099. First we will calculate the prime factors of 1084 and 1099.

Prime Factorization of 1084

Prime Factorization of 1099

Now multiplying the highest exponent prime factors to calculate the LCM of 1084 and 1099.

LCM(1084,1099) = 2² × 271¹ × 7¹ × 157¹
LCM(1084,1099) = 1191316