What is the Least Common Multiple of 26228 and 26238?

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 26228 and 26238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26228 and 26238, than apply into the LCM equation.

GCF(26228,26238) = 2
LCM(26228,26238) = ( 26228 × 26238) / 2
LCM(26228,26238) = 688170264 / 2
LCM(26228,26238) = 344085132

Least Common Multiple (LCM) of 26228 and 26238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26228 and 26238. First we will calculate the prime factors of 26228 and 26238.

Prime Factorization of 26228

Prime Factorization of 26238

Now multiplying the highest exponent prime factors to calculate the LCM of 26228 and 26238.

LCM(26228,26238) = 2² × 79¹ × 83¹ × 3¹ × 4373¹
LCM(26228,26238) = 344085132