What is the Least Common Multiple of 1162 and 1168?

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 1162 and 1168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1162 and 1168, than apply into the LCM equation.

GCF(1162,1168) = 2
LCM(1162,1168) = ( 1162 × 1168) / 2
LCM(1162,1168) = 1357216 / 2
LCM(1162,1168) = 678608

Least Common Multiple (LCM) of 1162 and 1168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1162 and 1168. First we will calculate the prime factors of 1162 and 1168.

Prime Factorization of 1162

Prime Factorization of 1168

Now multiplying the highest exponent prime factors to calculate the LCM of 1162 and 1168.

LCM(1162,1168) = 2⁴ × 7¹ × 83¹ × 73¹
LCM(1162,1168) = 678608