What is the Least Common Multiple of 4205 and 4214?

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 4205 and 4214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4205 and 4214, than apply into the LCM equation.

GCF(4205,4214) = 1
LCM(4205,4214) = ( 4205 × 4214) / 1
LCM(4205,4214) = 17719870 / 1
LCM(4205,4214) = 17719870

Least Common Multiple (LCM) of 4205 and 4214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4205 and 4214. First we will calculate the prime factors of 4205 and 4214.

Prime Factorization of 4205

Prime Factorization of 4214

Now multiplying the highest exponent prime factors to calculate the LCM of 4205 and 4214.

LCM(4205,4214) = 5¹ × 29² × 2¹ × 7² × 43¹
LCM(4205,4214) = 17719870