What is the Least Common Multiple of 26328 and 26338?

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 26328 and 26338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26328 and 26338, than apply into the LCM equation.

GCF(26328,26338) = 2
LCM(26328,26338) = ( 26328 × 26338) / 2
LCM(26328,26338) = 693426864 / 2
LCM(26328,26338) = 346713432

Least Common Multiple (LCM) of 26328 and 26338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26328 and 26338. First we will calculate the prime factors of 26328 and 26338.

Prime Factorization of 26328

Prime Factorization of 26338

Now multiplying the highest exponent prime factors to calculate the LCM of 26328 and 26338.

LCM(26328,26338) = 2³ × 3¹ × 1097¹ × 13¹ × 1013¹
LCM(26328,26338) = 346713432