What is the Least Common Multiple of 1068 and 1084?

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 1068 and 1084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1068 and 1084, than apply into the LCM equation.

GCF(1068,1084) = 4
LCM(1068,1084) = ( 1068 × 1084) / 4
LCM(1068,1084) = 1157712 / 4
LCM(1068,1084) = 289428

Least Common Multiple (LCM) of 1068 and 1084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1068 and 1084. First we will calculate the prime factors of 1068 and 1084.

Prime Factorization of 1068

Prime Factorization of 1084

Now multiplying the highest exponent prime factors to calculate the LCM of 1068 and 1084.

LCM(1068,1084) = 2² × 3¹ × 89¹ × 271¹
LCM(1068,1084) = 289428