What is the Least Common Multiple of 7170 and 7180?

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 7170 and 7180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7170 and 7180, than apply into the LCM equation.

GCF(7170,7180) = 10
LCM(7170,7180) = ( 7170 × 7180) / 10
LCM(7170,7180) = 51480600 / 10
LCM(7170,7180) = 5148060

Least Common Multiple (LCM) of 7170 and 7180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7180. First we will calculate the prime factors of 7170 and 7180.

Prime Factorization of 7170

Prime Factorization of 7180

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7180.

LCM(7170,7180) = 2² × 3¹ × 5¹ × 239¹ × 359¹
LCM(7170,7180) = 5148060