What is the Least Common Multiple of 82205 and 82212?

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 82212 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 82212, than apply into the LCM equation.

GCF(82205,82212) = 1
LCM(82205,82212) = ( 82205 × 82212) / 1
LCM(82205,82212) = 6758237460 / 1
LCM(82205,82212) = 6758237460

Least Common Multiple (LCM) of 82205 and 82212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82205 and 82212. First we will calculate the prime factors of 82205 and 82212.

Prime Factorization of 82205

Prime Factorization of 82212

Now multiplying the highest exponent prime factors to calculate the LCM of 82205 and 82212.

LCM(82205,82212) = 5¹ × 41¹ × 401¹ × 2² × 3¹ × 13¹ × 17¹ × 31¹
LCM(82205,82212) = 6758237460