What is the Least Common Multiple of 1065 and 1069?

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 1065 and 1069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1065 and 1069, than apply into the LCM equation.

GCF(1065,1069) = 1
LCM(1065,1069) = ( 1065 × 1069) / 1
LCM(1065,1069) = 1138485 / 1
LCM(1065,1069) = 1138485

Least Common Multiple (LCM) of 1065 and 1069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1069. First we will calculate the prime factors of 1065 and 1069.

Prime Factorization of 1065

Prime Factorization of 1069

Now multiplying the highest exponent prime factors to calculate the LCM of 1065 and 1069.

LCM(1065,1069) = 3¹ × 5¹ × 71¹ × 1069¹
LCM(1065,1069) = 1138485