What is the Least Common Multiple of 73342 and 73348?

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 73342 and 73348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73342 and 73348, than apply into the LCM equation.

GCF(73342,73348) = 2
LCM(73342,73348) = ( 73342 × 73348) / 2
LCM(73342,73348) = 5379489016 / 2
LCM(73342,73348) = 2689744508

Least Common Multiple (LCM) of 73342 and 73348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73342 and 73348. First we will calculate the prime factors of 73342 and 73348.

Prime Factorization of 73342

Prime Factorization of 73348

Now multiplying the highest exponent prime factors to calculate the LCM of 73342 and 73348.

LCM(73342,73348) = 2² × 36671¹ × 11¹ × 1667¹
LCM(73342,73348) = 2689744508