What is the Least Common Multiple of 6205 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 of 6205 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 6205 and 6214, than apply into the LCM equation.

GCF(6205,6214) = 1
LCM(6205,6214) = ( 6205 × 6214) / 1
LCM(6205,6214) = 38557870 / 1
LCM(6205,6214) = 38557870

Least Common Multiple (LCM) of 6205 and 6214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6214. First we will calculate the prime factors of 6205 and 6214.

Prime Factorization of 6205

Prime Factorization of 6214

Now multiplying the highest exponent prime factors to calculate the LCM of 6205 and 6214.

LCM(6205,6214) = 5¹ × 17¹ × 73¹ × 2¹ × 13¹ × 239¹
LCM(6205,6214) = 38557870