What is the Least Common Multiple of 80205 and 80215?

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 80205 and 80215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80205 and 80215, than apply into the LCM equation.

GCF(80205,80215) = 5
LCM(80205,80215) = ( 80205 × 80215) / 5
LCM(80205,80215) = 6433644075 / 5
LCM(80205,80215) = 1286728815

Least Common Multiple (LCM) of 80205 and 80215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80205 and 80215. First we will calculate the prime factors of 80205 and 80215.

Prime Factorization of 80205

Prime Factorization of 80215

Now multiplying the highest exponent prime factors to calculate the LCM of 80205 and 80215.

LCM(80205,80215) = 3¹ × 5¹ × 5347¹ × 61¹ × 263¹
LCM(80205,80215) = 1286728815