What is the Least Common Multiple of 7170 and 7182?

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 7182 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 7182, than apply into the LCM equation.

GCF(7170,7182) = 6
LCM(7170,7182) = ( 7170 × 7182) / 6
LCM(7170,7182) = 51494940 / 6
LCM(7170,7182) = 8582490

Least Common Multiple (LCM) of 7170 and 7182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7170 and 7182. First we will calculate the prime factors of 7170 and 7182.

Prime Factorization of 7170

Prime Factorization of 7182

Now multiplying the highest exponent prime factors to calculate the LCM of 7170 and 7182.

LCM(7170,7182) = 2¹ × 3³ × 5¹ × 239¹ × 7¹ × 19¹
LCM(7170,7182) = 8582490