What is the Least Common Multiple of 26342 and 26348?

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 26342 and 26348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26342 and 26348, than apply into the LCM equation.

GCF(26342,26348) = 2
LCM(26342,26348) = ( 26342 × 26348) / 2
LCM(26342,26348) = 694059016 / 2
LCM(26342,26348) = 347029508

Least Common Multiple (LCM) of 26342 and 26348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26342 and 26348. First we will calculate the prime factors of 26342 and 26348.

Prime Factorization of 26342

Prime Factorization of 26348

Now multiplying the highest exponent prime factors to calculate the LCM of 26342 and 26348.

LCM(26342,26348) = 2² × 13171¹ × 7¹ × 941¹
LCM(26342,26348) = 347029508