What is the Least Common Multiple of 1125 and 1142?

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 1125 and 1142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1125 and 1142, than apply into the LCM equation.

GCF(1125,1142) = 1
LCM(1125,1142) = ( 1125 × 1142) / 1
LCM(1125,1142) = 1284750 / 1
LCM(1125,1142) = 1284750

Least Common Multiple (LCM) of 1125 and 1142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1142. First we will calculate the prime factors of 1125 and 1142.

Prime Factorization of 1125

Prime Factorization of 1142

Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1142.

LCM(1125,1142) = 3² × 5³ × 2¹ × 571¹
LCM(1125,1142) = 1284750