What is the Least Common Multiple of 26496 and 26500?

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 26496 and 26500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26496 and 26500, than apply into the LCM equation.

GCF(26496,26500) = 4
LCM(26496,26500) = ( 26496 × 26500) / 4
LCM(26496,26500) = 702144000 / 4
LCM(26496,26500) = 175536000

Least Common Multiple (LCM) of 26496 and 26500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26496 and 26500. First we will calculate the prime factors of 26496 and 26500.

Prime Factorization of 26496

Prime Factorization of 26500

Now multiplying the highest exponent prime factors to calculate the LCM of 26496 and 26500.

LCM(26496,26500) = 2⁷ × 3² × 23¹ × 5³ × 53¹
LCM(26496,26500) = 175536000