What is the Least Common Multiple of 47600 and 47612?

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 47600 and 47612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47600 and 47612, than apply into the LCM equation.

GCF(47600,47612) = 4
LCM(47600,47612) = ( 47600 × 47612) / 4
LCM(47600,47612) = 2266331200 / 4
LCM(47600,47612) = 566582800

Least Common Multiple (LCM) of 47600 and 47612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47600 and 47612. First we will calculate the prime factors of 47600 and 47612.

Prime Factorization of 47600

Prime Factorization of 47612

Now multiplying the highest exponent prime factors to calculate the LCM of 47600 and 47612.

LCM(47600,47612) = 2⁴ × 5² × 7¹ × 17¹ × 11903¹
LCM(47600,47612) = 566582800