What is the Least Common Multiple of 15205 and 15215?

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 15205 and 15215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15205 and 15215, than apply into the LCM equation.

GCF(15205,15215) = 5
LCM(15205,15215) = ( 15205 × 15215) / 5
LCM(15205,15215) = 231344075 / 5
LCM(15205,15215) = 46268815

Least Common Multiple (LCM) of 15205 and 15215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15205 and 15215. First we will calculate the prime factors of 15205 and 15215.

Prime Factorization of 15205

Prime Factorization of 15215

Now multiplying the highest exponent prime factors to calculate the LCM of 15205 and 15215.

LCM(15205,15215) = 5¹ × 3041¹ × 17¹ × 179¹
LCM(15205,15215) = 46268815