What is the Least Common Multiple of 82203 and 82215?

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 82203 and 82215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82203 and 82215, than apply into the LCM equation.

GCF(82203,82215) = 3
LCM(82203,82215) = ( 82203 × 82215) / 3
LCM(82203,82215) = 6758319645 / 3
LCM(82203,82215) = 2252773215

Least Common Multiple (LCM) of 82203 and 82215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82203 and 82215. First we will calculate the prime factors of 82203 and 82215.

Prime Factorization of 82203

Prime Factorization of 82215

Now multiplying the highest exponent prime factors to calculate the LCM of 82203 and 82215.

LCM(82203,82215) = 3⁴ × 11¹ × 47¹ × 53¹ × 5¹ × 7¹ × 29¹
LCM(82203,82215) = 2252773215