What is the Least Common Multiple of 26382 and 26388?

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 26382 and 26388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26382 and 26388, than apply into the LCM equation.

GCF(26382,26388) = 6
LCM(26382,26388) = ( 26382 × 26388) / 6
LCM(26382,26388) = 696168216 / 6
LCM(26382,26388) = 116028036

Least Common Multiple (LCM) of 26382 and 26388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26382 and 26388. First we will calculate the prime factors of 26382 and 26388.

Prime Factorization of 26382

Prime Factorization of 26388

Now multiplying the highest exponent prime factors to calculate the LCM of 26382 and 26388.

LCM(26382,26388) = 2² × 3² × 4397¹ × 733¹
LCM(26382,26388) = 116028036