What is the Least Common Multiple of 1134 and 1140?

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 1134 and 1140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1134 and 1140, than apply into the LCM equation.

GCF(1134,1140) = 6
LCM(1134,1140) = ( 1134 × 1140) / 6
LCM(1134,1140) = 1292760 / 6
LCM(1134,1140) = 215460

Least Common Multiple (LCM) of 1134 and 1140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1134 and 1140. First we will calculate the prime factors of 1134 and 1140.

Prime Factorization of 1134

Prime Factorization of 1140

Now multiplying the highest exponent prime factors to calculate the LCM of 1134 and 1140.

LCM(1134,1140) = 2² × 3⁴ × 7¹ × 5¹ × 19¹
LCM(1134,1140) = 215460