What is the Least Common Multiple of 1080 and 1085?

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 1080 and 1085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1080 and 1085, than apply into the LCM equation.

GCF(1080,1085) = 5
LCM(1080,1085) = ( 1080 × 1085) / 5
LCM(1080,1085) = 1171800 / 5
LCM(1080,1085) = 234360

Least Common Multiple (LCM) of 1080 and 1085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1080 and 1085. First we will calculate the prime factors of 1080 and 1085.

Prime Factorization of 1080

Prime Factorization of 1085

Now multiplying the highest exponent prime factors to calculate the LCM of 1080 and 1085.

LCM(1080,1085) = 2³ × 3³ × 5¹ × 7¹ × 31¹
LCM(1080,1085) = 234360