What is the Least Common Multiple of 23226 and 23242?

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 23226 and 23242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23226 and 23242, than apply into the LCM equation.

GCF(23226,23242) = 2
LCM(23226,23242) = ( 23226 × 23242) / 2
LCM(23226,23242) = 539818692 / 2
LCM(23226,23242) = 269909346

Least Common Multiple (LCM) of 23226 and 23242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23226 and 23242. First we will calculate the prime factors of 23226 and 23242.

Prime Factorization of 23226

Prime Factorization of 23242

Now multiplying the highest exponent prime factors to calculate the LCM of 23226 and 23242.

LCM(23226,23242) = 2¹ × 3¹ × 7² × 79¹ × 11621¹
LCM(23226,23242) = 269909346