What is the Least Common Multiple of 26335 and 26342?

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 26335 and 26342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26335 and 26342, than apply into the LCM equation.

GCF(26335,26342) = 1
LCM(26335,26342) = ( 26335 × 26342) / 1
LCM(26335,26342) = 693716570 / 1
LCM(26335,26342) = 693716570

Least Common Multiple (LCM) of 26335 and 26342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26335 and 26342. First we will calculate the prime factors of 26335 and 26342.

Prime Factorization of 26335

Prime Factorization of 26342

Now multiplying the highest exponent prime factors to calculate the LCM of 26335 and 26342.

LCM(26335,26342) = 5¹ × 23¹ × 229¹ × 2¹ × 13171¹
LCM(26335,26342) = 693716570