What is the Least Common Multiple of 1152 and 1162?

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 1162 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 1162, than apply into the LCM equation.

GCF(1152,1162) = 2
LCM(1152,1162) = ( 1152 × 1162) / 2
LCM(1152,1162) = 1338624 / 2
LCM(1152,1162) = 669312

Least Common Multiple (LCM) of 1152 and 1162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1162. First we will calculate the prime factors of 1152 and 1162.

Prime Factorization of 1152

Prime Factorization of 1162

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1162.

LCM(1152,1162) = 2⁷ × 3² × 7¹ × 83¹
LCM(1152,1162) = 669312