What is the Least Common Multiple of 1085 and 1096?

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 1085 and 1096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1085 and 1096, than apply into the LCM equation.

GCF(1085,1096) = 1
LCM(1085,1096) = ( 1085 × 1096) / 1
LCM(1085,1096) = 1189160 / 1
LCM(1085,1096) = 1189160

Least Common Multiple (LCM) of 1085 and 1096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1085 and 1096. First we will calculate the prime factors of 1085 and 1096.

Prime Factorization of 1085

Prime Factorization of 1096

Now multiplying the highest exponent prime factors to calculate the LCM of 1085 and 1096.

LCM(1085,1096) = 5¹ × 7¹ × 31¹ × 2³ × 137¹
LCM(1085,1096) = 1189160