What is the Least Common Multiple of 7130 and 7150?

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 7130 and 7150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7130 and 7150, than apply into the LCM equation.

GCF(7130,7150) = 10
LCM(7130,7150) = ( 7130 × 7150) / 10
LCM(7130,7150) = 50979500 / 10
LCM(7130,7150) = 5097950

Least Common Multiple (LCM) of 7130 and 7150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7150. First we will calculate the prime factors of 7130 and 7150.

Prime Factorization of 7130

Prime Factorization of 7150

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7150.

LCM(7130,7150) = 2¹ × 5² × 23¹ × 31¹ × 11¹ × 13¹
LCM(7130,7150) = 5097950