What is the Least Common Multiple of 26214 and 26228?

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 26214 and 26228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26214 and 26228, than apply into the LCM equation.

GCF(26214,26228) = 2
LCM(26214,26228) = ( 26214 × 26228) / 2
LCM(26214,26228) = 687540792 / 2
LCM(26214,26228) = 343770396

Least Common Multiple (LCM) of 26214 and 26228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26214 and 26228. First we will calculate the prime factors of 26214 and 26228.

Prime Factorization of 26214

Prime Factorization of 26228

Now multiplying the highest exponent prime factors to calculate the LCM of 26214 and 26228.

LCM(26214,26228) = 2² × 3¹ × 17¹ × 257¹ × 79¹ × 83¹
LCM(26214,26228) = 343770396