What is the Least Common Multiple of 26333 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 26333 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 26333 and 26338, than apply into the LCM equation.

GCF(26333,26338) = 1
LCM(26333,26338) = ( 26333 × 26338) / 1
LCM(26333,26338) = 693558554 / 1
LCM(26333,26338) = 693558554

Least Common Multiple (LCM) of 26333 and 26338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26333 and 26338. First we will calculate the prime factors of 26333 and 26338.

Prime Factorization of 26333

Prime Factorization of 26338

Now multiplying the highest exponent prime factors to calculate the LCM of 26333 and 26338.

LCM(26333,26338) = 17¹ × 1549¹ × 2¹ × 13¹ × 1013¹
LCM(26333,26338) = 693558554