What is the Least Common Multiple of 26208 and 26214?

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 26208 and 26214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26208 and 26214, than apply into the LCM equation.

GCF(26208,26214) = 6
LCM(26208,26214) = ( 26208 × 26214) / 6
LCM(26208,26214) = 687016512 / 6
LCM(26208,26214) = 114502752

Least Common Multiple (LCM) of 26208 and 26214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26208 and 26214. First we will calculate the prime factors of 26208 and 26214.

Prime Factorization of 26208

Prime Factorization of 26214

Now multiplying the highest exponent prime factors to calculate the LCM of 26208 and 26214.

LCM(26208,26214) = 2⁵ × 3² × 7¹ × 13¹ × 17¹ × 257¹
LCM(26208,26214) = 114502752