What is the Least Common Multiple of 94340 and 94348?

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 94340 and 94348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94340 and 94348, than apply into the LCM equation.

GCF(94340,94348) = 4
LCM(94340,94348) = ( 94340 × 94348) / 4
LCM(94340,94348) = 8900790320 / 4
LCM(94340,94348) = 2225197580

Least Common Multiple (LCM) of 94340 and 94348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94340 and 94348. First we will calculate the prime factors of 94340 and 94348.

Prime Factorization of 94340

Prime Factorization of 94348

Now multiplying the highest exponent prime factors to calculate the LCM of 94340 and 94348.

LCM(94340,94348) = 2² × 5¹ × 53¹ × 89¹ × 103¹ × 229¹
LCM(94340,94348) = 2225197580