GCF and LCM Calculator Logo

What is the Least Common Multiple of 6204 and 6215?

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 (LCM) of 6204 and 6215 is 3505260.

LCM(6204,6215) = 3505260

LCM Calculator and
and

Least Common Multiple of 6204 and 6215 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 6215, than apply into the LCM equation.

GCF(6204,6215) = 11
LCM(6204,6215) = ( 6204 × 6215) / 11
LCM(6204,6215) = 38557860 / 11
LCM(6204,6215) = 3505260

Least Common Multiple (LCM) of 6204 and 6215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6204 and 6215. First we will calculate the prime factors of 6204 and 6215.

Prime Factorization of 6204

Prime factors of 6204 are 2, 3, 11, 47. Prime factorization of 6204 in exponential form is:

6204 = 22 × 31 × 111 × 471

Prime Factorization of 6215

Prime factors of 6215 are 5, 11, 113. Prime factorization of 6215 in exponential form is:

6215 = 51 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6204 and 6215.

LCM(6204,6215) = 22 × 31 × 111 × 471 × 51 × 1131
LCM(6204,6215) = 3505260