What is the Least Common Multiple of 6180 and 6199?

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 6199 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 6199, than apply into the LCM equation.

GCF(6180,6199) = 1
LCM(6180,6199) = ( 6180 × 6199) / 1
LCM(6180,6199) = 38309820 / 1
LCM(6180,6199) = 38309820

Least Common Multiple (LCM) of 6180 and 6199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6180 and 6199. First we will calculate the prime factors of 6180 and 6199.

Prime Factorization of 6180

Prime Factorization of 6199

Now multiplying the highest exponent prime factors to calculate the LCM of 6180 and 6199.

LCM(6180,6199) = 2² × 3¹ × 5¹ × 103¹ × 6199¹
LCM(6180,6199) = 38309820