What is the Least Common Multiple of 1158 and 1173?

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 1158 and 1173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1158 and 1173, than apply into the LCM equation.

GCF(1158,1173) = 3
LCM(1158,1173) = ( 1158 × 1173) / 3
LCM(1158,1173) = 1358334 / 3
LCM(1158,1173) = 452778

Least Common Multiple (LCM) of 1158 and 1173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1158 and 1173. First we will calculate the prime factors of 1158 and 1173.

Prime Factorization of 1158

Prime Factorization of 1173

Now multiplying the highest exponent prime factors to calculate the LCM of 1158 and 1173.

LCM(1158,1173) = 2¹ × 3¹ × 193¹ × 17¹ × 23¹
LCM(1158,1173) = 452778