What is the Least Common Multiple of 6204 and 6216?

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 6204 and 6216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6204 and 6216, than apply into the LCM equation.

GCF(6204,6216) = 12
LCM(6204,6216) = ( 6204 × 6216) / 12
LCM(6204,6216) = 38564064 / 12
LCM(6204,6216) = 3213672

Least Common Multiple (LCM) of 6204 and 6216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6204 and 6216. First we will calculate the prime factors of 6204 and 6216.

Prime Factorization of 6204

Prime Factorization of 6216

Now multiplying the highest exponent prime factors to calculate the LCM of 6204 and 6216.

LCM(6204,6216) = 2³ × 3¹ × 11¹ × 47¹ × 7¹ × 37¹
LCM(6204,6216) = 3213672