What is the Least Common Multiple of 32205 and 32211?

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 32205 and 32211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32205 and 32211, than apply into the LCM equation.

GCF(32205,32211) = 3
LCM(32205,32211) = ( 32205 × 32211) / 3
LCM(32205,32211) = 1037355255 / 3
LCM(32205,32211) = 345785085

Least Common Multiple (LCM) of 32205 and 32211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32205 and 32211. First we will calculate the prime factors of 32205 and 32211.

Prime Factorization of 32205

Prime Factorization of 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 32205 and 32211.

LCM(32205,32211) = 3³ × 5¹ × 19¹ × 113¹ × 1193¹
LCM(32205,32211) = 345785085