What is the Least Common Multiple of 1152 and 1165?

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 1152 and 1165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1152 and 1165, than apply into the LCM equation.

GCF(1152,1165) = 1
LCM(1152,1165) = ( 1152 × 1165) / 1
LCM(1152,1165) = 1342080 / 1
LCM(1152,1165) = 1342080

Least Common Multiple (LCM) of 1152 and 1165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1165. First we will calculate the prime factors of 1152 and 1165.

Prime Factorization of 1152

Prime Factorization of 1165

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1165.

LCM(1152,1165) = 2⁷ × 3² × 5¹ × 233¹
LCM(1152,1165) = 1342080