What is the Least Common Multiple of 33205 and 33215?

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 33205 and 33215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33205 and 33215, than apply into the LCM equation.

GCF(33205,33215) = 5
LCM(33205,33215) = ( 33205 × 33215) / 5
LCM(33205,33215) = 1102904075 / 5
LCM(33205,33215) = 220580815

Least Common Multiple (LCM) of 33205 and 33215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33205 and 33215. First we will calculate the prime factors of 33205 and 33215.

Prime Factorization of 33205

Prime Factorization of 33215

Now multiplying the highest exponent prime factors to calculate the LCM of 33205 and 33215.

LCM(33205,33215) = 5¹ × 29¹ × 229¹ × 7¹ × 13¹ × 73¹
LCM(33205,33215) = 220580815