What is the Least Common Multiple of 23212 and 23226?

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 23212 and 23226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23212 and 23226, than apply into the LCM equation.

GCF(23212,23226) = 14
LCM(23212,23226) = ( 23212 × 23226) / 14
LCM(23212,23226) = 539121912 / 14
LCM(23212,23226) = 38508708

Least Common Multiple (LCM) of 23212 and 23226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23212 and 23226. First we will calculate the prime factors of 23212 and 23226.

Prime Factorization of 23212

Prime Factorization of 23226

Now multiplying the highest exponent prime factors to calculate the LCM of 23212 and 23226.

LCM(23212,23226) = 2² × 7² × 829¹ × 3¹ × 79¹
LCM(23212,23226) = 38508708