What is the Least Common Multiple of 28205 and 28215?

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 28205 and 28215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28205 and 28215, than apply into the LCM equation.

GCF(28205,28215) = 5
LCM(28205,28215) = ( 28205 × 28215) / 5
LCM(28205,28215) = 795804075 / 5
LCM(28205,28215) = 159160815

Least Common Multiple (LCM) of 28205 and 28215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28205 and 28215. First we will calculate the prime factors of 28205 and 28215.

Prime Factorization of 28205

Prime Factorization of 28215

Now multiplying the highest exponent prime factors to calculate the LCM of 28205 and 28215.

LCM(28205,28215) = 5¹ × 5641¹ × 3³ × 11¹ × 19¹
LCM(28205,28215) = 159160815