GCF and LCM Calculator Logo

What is the Least Common Multiple of 6199 and 6214?

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 6199 and 6214 is 38520586.

LCM(6199,6214) = 38520586

LCM Calculator and
and

Least Common Multiple of 6199 and 6214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6199 and 6214, than apply into the LCM equation.

GCF(6199,6214) = 1
LCM(6199,6214) = ( 6199 × 6214) / 1
LCM(6199,6214) = 38520586 / 1
LCM(6199,6214) = 38520586

Least Common Multiple (LCM) of 6199 and 6214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6199 and 6214. First we will calculate the prime factors of 6199 and 6214.

Prime Factorization of 6199

Prime factors of 6199 are 6199. Prime factorization of 6199 in exponential form is:

6199 = 61991

Prime Factorization of 6214

Prime factors of 6214 are 2, 13, 239. Prime factorization of 6214 in exponential form is:

6214 = 21 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 6199 and 6214.

LCM(6199,6214) = 61991 × 21 × 131 × 2391
LCM(6199,6214) = 38520586