What is the Least Common Multiple of 26341 and 26353?

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 26341 and 26353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26341 and 26353, than apply into the LCM equation.

GCF(26341,26353) = 1
LCM(26341,26353) = ( 26341 × 26353) / 1
LCM(26341,26353) = 694164373 / 1
LCM(26341,26353) = 694164373

Least Common Multiple (LCM) of 26341 and 26353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26341 and 26353. First we will calculate the prime factors of 26341 and 26353.

Prime Factorization of 26341

Prime Factorization of 26353

Now multiplying the highest exponent prime factors to calculate the LCM of 26341 and 26353.

LCM(26341,26353) = 7¹ × 53¹ × 71¹ × 19² × 73¹
LCM(26341,26353) = 694164373