What is the Least Common Multiple of 26528 and 26535?

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 26528 and 26535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26528 and 26535, than apply into the LCM equation.

GCF(26528,26535) = 1
LCM(26528,26535) = ( 26528 × 26535) / 1
LCM(26528,26535) = 703920480 / 1
LCM(26528,26535) = 703920480

Least Common Multiple (LCM) of 26528 and 26535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26528 and 26535. First we will calculate the prime factors of 26528 and 26535.

Prime Factorization of 26528

Prime Factorization of 26535

Now multiplying the highest exponent prime factors to calculate the LCM of 26528 and 26535.

LCM(26528,26535) = 2⁵ × 829¹ × 3¹ × 5¹ × 29¹ × 61¹
LCM(26528,26535) = 703920480