What is the Least Common Multiple of 82205 and 82210?

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 82205 and 82210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82205 and 82210, than apply into the LCM equation.

GCF(82205,82210) = 5
LCM(82205,82210) = ( 82205 × 82210) / 5
LCM(82205,82210) = 6758073050 / 5
LCM(82205,82210) = 1351614610

Least Common Multiple (LCM) of 82205 and 82210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82205 and 82210. First we will calculate the prime factors of 82205 and 82210.

Prime Factorization of 82205

Prime Factorization of 82210

Now multiplying the highest exponent prime factors to calculate the LCM of 82205 and 82210.

LCM(82205,82210) = 5¹ × 41¹ × 401¹ × 2¹ × 8221¹
LCM(82205,82210) = 1351614610