What is the Least Common Multiple of 6175 and 6188?

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 6175 and 6188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6175 and 6188, than apply into the LCM equation.

GCF(6175,6188) = 13
LCM(6175,6188) = ( 6175 × 6188) / 13
LCM(6175,6188) = 38210900 / 13
LCM(6175,6188) = 2939300

Least Common Multiple (LCM) of 6175 and 6188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6175 and 6188. First we will calculate the prime factors of 6175 and 6188.

Prime Factorization of 6175

Prime Factorization of 6188

Now multiplying the highest exponent prime factors to calculate the LCM of 6175 and 6188.

LCM(6175,6188) = 5² × 13¹ × 19¹ × 2² × 7¹ × 17¹
LCM(6175,6188) = 2939300