What is the Least Common Multiple of 6180 and 6185?

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 6180 and 6185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6180 and 6185, than apply into the LCM equation.

GCF(6180,6185) = 5
LCM(6180,6185) = ( 6180 × 6185) / 5
LCM(6180,6185) = 38223300 / 5
LCM(6180,6185) = 7644660

Least Common Multiple (LCM) of 6180 and 6185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6180 and 6185. First we will calculate the prime factors of 6180 and 6185.

Prime Factorization of 6180

Prime Factorization of 6185

Now multiplying the highest exponent prime factors to calculate the LCM of 6180 and 6185.

LCM(6180,6185) = 2² × 3¹ × 5¹ × 103¹ × 1237¹
LCM(6180,6185) = 7644660