What is the Least Common Multiple of 26223 and 26235?

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 26223 and 26235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26223 and 26235, than apply into the LCM equation.

GCF(26223,26235) = 3
LCM(26223,26235) = ( 26223 × 26235) / 3
LCM(26223,26235) = 687960405 / 3
LCM(26223,26235) = 229320135

Least Common Multiple (LCM) of 26223 and 26235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26223 and 26235. First we will calculate the prime factors of 26223 and 26235.

Prime Factorization of 26223

Prime Factorization of 26235

Now multiplying the highest exponent prime factors to calculate the LCM of 26223 and 26235.

LCM(26223,26235) = 3² × 8741¹ × 5¹ × 11¹ × 53¹
LCM(26223,26235) = 229320135