What is the Least Common Multiple of 8205 and 8215?

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 8205 and 8215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8205 and 8215, than apply into the LCM equation.

GCF(8205,8215) = 5
LCM(8205,8215) = ( 8205 × 8215) / 5
LCM(8205,8215) = 67404075 / 5
LCM(8205,8215) = 13480815

Least Common Multiple (LCM) of 8205 and 8215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8205 and 8215. First we will calculate the prime factors of 8205 and 8215.

Prime Factorization of 8205

Prime Factorization of 8215

Now multiplying the highest exponent prime factors to calculate the LCM of 8205 and 8215.

LCM(8205,8215) = 3¹ × 5¹ × 547¹ × 31¹ × 53¹
LCM(8205,8215) = 13480815