What is the Least Common Multiple of 26480 and 26498?

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 26480 and 26498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26480 and 26498, than apply into the LCM equation.

GCF(26480,26498) = 2
LCM(26480,26498) = ( 26480 × 26498) / 2
LCM(26480,26498) = 701667040 / 2
LCM(26480,26498) = 350833520

Least Common Multiple (LCM) of 26480 and 26498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26480 and 26498. First we will calculate the prime factors of 26480 and 26498.

Prime Factorization of 26480

Prime Factorization of 26498

Now multiplying the highest exponent prime factors to calculate the LCM of 26480 and 26498.

LCM(26480,26498) = 2⁴ × 5¹ × 331¹ × 13249¹
LCM(26480,26498) = 350833520