What is the Least Common Multiple of 47300 and 47312?

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 47300 and 47312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47300 and 47312, than apply into the LCM equation.

GCF(47300,47312) = 4
LCM(47300,47312) = ( 47300 × 47312) / 4
LCM(47300,47312) = 2237857600 / 4
LCM(47300,47312) = 559464400

Least Common Multiple (LCM) of 47300 and 47312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47300 and 47312. First we will calculate the prime factors of 47300 and 47312.

Prime Factorization of 47300

Prime Factorization of 47312

Now multiplying the highest exponent prime factors to calculate the LCM of 47300 and 47312.

LCM(47300,47312) = 2⁴ × 5² × 11¹ × 43¹ × 2957¹
LCM(47300,47312) = 559464400