What is the Least Common Multiple of 26325 and 26333?

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 26325 and 26333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26325 and 26333, than apply into the LCM equation.

GCF(26325,26333) = 1
LCM(26325,26333) = ( 26325 × 26333) / 1
LCM(26325,26333) = 693216225 / 1
LCM(26325,26333) = 693216225

Least Common Multiple (LCM) of 26325 and 26333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26325 and 26333. First we will calculate the prime factors of 26325 and 26333.

Prime Factorization of 26325

Prime Factorization of 26333

Now multiplying the highest exponent prime factors to calculate the LCM of 26325 and 26333.

LCM(26325,26333) = 3⁴ × 5² × 13¹ × 17¹ × 1549¹
LCM(26325,26333) = 693216225