What is the Least Common Multiple of 47430 and 47448?

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 47430 and 47448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47430 and 47448, than apply into the LCM equation.

GCF(47430,47448) = 18
LCM(47430,47448) = ( 47430 × 47448) / 18
LCM(47430,47448) = 2250458640 / 18
LCM(47430,47448) = 125025480

Least Common Multiple (LCM) of 47430 and 47448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47430 and 47448. First we will calculate the prime factors of 47430 and 47448.

Prime Factorization of 47430

Prime Factorization of 47448

Now multiplying the highest exponent prime factors to calculate the LCM of 47430 and 47448.

LCM(47430,47448) = 2³ × 3² × 5¹ × 17¹ × 31¹ × 659¹
LCM(47430,47448) = 125025480