What is the Least Common Multiple of 6186 and 6204?

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 6186 and 6204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6186 and 6204, than apply into the LCM equation.

GCF(6186,6204) = 6
LCM(6186,6204) = ( 6186 × 6204) / 6
LCM(6186,6204) = 38377944 / 6
LCM(6186,6204) = 6396324

Least Common Multiple (LCM) of 6186 and 6204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6186 and 6204. First we will calculate the prime factors of 6186 and 6204.

Prime Factorization of 6186

Prime Factorization of 6204

Now multiplying the highest exponent prime factors to calculate the LCM of 6186 and 6204.

LCM(6186,6204) = 2² × 3¹ × 1031¹ × 11¹ × 47¹
LCM(6186,6204) = 6396324