What is the Least Common Multiple of 82212 and 82232?

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 82212 and 82232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82212 and 82232, than apply into the LCM equation.

GCF(82212,82232) = 4
LCM(82212,82232) = ( 82212 × 82232) / 4
LCM(82212,82232) = 6760457184 / 4
LCM(82212,82232) = 1690114296

Least Common Multiple (LCM) of 82212 and 82232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82212 and 82232. First we will calculate the prime factors of 82212 and 82232.

Prime Factorization of 82212

Prime Factorization of 82232

Now multiplying the highest exponent prime factors to calculate the LCM of 82212 and 82232.

LCM(82212,82232) = 2³ × 3¹ × 13¹ × 17¹ × 31¹ × 19¹ × 541¹
LCM(82212,82232) = 1690114296