What is the Least Common Multiple of 47342 and 47348?

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 47342 and 47348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47342 and 47348, than apply into the LCM equation.

GCF(47342,47348) = 2
LCM(47342,47348) = ( 47342 × 47348) / 2
LCM(47342,47348) = 2241549016 / 2
LCM(47342,47348) = 1120774508

Least Common Multiple (LCM) of 47342 and 47348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47342 and 47348. First we will calculate the prime factors of 47342 and 47348.

Prime Factorization of 47342

Prime Factorization of 47348

Now multiplying the highest exponent prime factors to calculate the LCM of 47342 and 47348.

LCM(47342,47348) = 2² × 23671¹ × 7¹ × 19¹ × 89¹
LCM(47342,47348) = 1120774508