What is the Least Common Multiple of 1130 and 1150?

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 1130 and 1150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1130 and 1150, than apply into the LCM equation.

GCF(1130,1150) = 10
LCM(1130,1150) = ( 1130 × 1150) / 10
LCM(1130,1150) = 1299500 / 10
LCM(1130,1150) = 129950

Least Common Multiple (LCM) of 1130 and 1150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1130 and 1150. First we will calculate the prime factors of 1130 and 1150.

Prime Factorization of 1130

Prime Factorization of 1150

Now multiplying the highest exponent prime factors to calculate the LCM of 1130 and 1150.

LCM(1130,1150) = 2¹ × 5² × 113¹ × 23¹
LCM(1130,1150) = 129950