GCF and LCM Calculator Logo

What is the Least Common Multiple of 6213 and 6217?

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 6213 and 6217 is 38626221.

LCM(6213,6217) = 38626221

LCM Calculator and
and

Least Common Multiple of 6213 and 6217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6213 and 6217, than apply into the LCM equation.

GCF(6213,6217) = 1
LCM(6213,6217) = ( 6213 × 6217) / 1
LCM(6213,6217) = 38626221 / 1
LCM(6213,6217) = 38626221

Least Common Multiple (LCM) of 6213 and 6217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6213 and 6217. First we will calculate the prime factors of 6213 and 6217.

Prime Factorization of 6213

Prime factors of 6213 are 3, 19, 109. Prime factorization of 6213 in exponential form is:

6213 = 31 × 191 × 1091

Prime Factorization of 6217

Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:

6217 = 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 6213 and 6217.

LCM(6213,6217) = 31 × 191 × 1091 × 62171
LCM(6213,6217) = 38626221