What is the Least Common Multiple of 26206 and 26224?

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 26206 and 26224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26206 and 26224, than apply into the LCM equation.

GCF(26206,26224) = 2
LCM(26206,26224) = ( 26206 × 26224) / 2
LCM(26206,26224) = 687226144 / 2
LCM(26206,26224) = 343613072

Least Common Multiple (LCM) of 26206 and 26224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26206 and 26224. First we will calculate the prime factors of 26206 and 26224.

Prime Factorization of 26206

Prime Factorization of 26224

Now multiplying the highest exponent prime factors to calculate the LCM of 26206 and 26224.

LCM(26206,26224) = 2⁴ × 13103¹ × 11¹ × 149¹
LCM(26206,26224) = 343613072