What is the Least Common Multiple of 1152 and 1167?

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 1167 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 1167, than apply into the LCM equation.

GCF(1152,1167) = 3
LCM(1152,1167) = ( 1152 × 1167) / 3
LCM(1152,1167) = 1344384 / 3
LCM(1152,1167) = 448128

Least Common Multiple (LCM) of 1152 and 1167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1152 and 1167. First we will calculate the prime factors of 1152 and 1167.

Prime Factorization of 1152

Prime Factorization of 1167

Now multiplying the highest exponent prime factors to calculate the LCM of 1152 and 1167.

LCM(1152,1167) = 2⁷ × 3² × 389¹
LCM(1152,1167) = 448128