What is the Least Common Multiple of 47870 and 47880?

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 47870 and 47880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47870 and 47880, than apply into the LCM equation.

GCF(47870,47880) = 10
LCM(47870,47880) = ( 47870 × 47880) / 10
LCM(47870,47880) = 2292015600 / 10
LCM(47870,47880) = 229201560

Least Common Multiple (LCM) of 47870 and 47880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47870 and 47880. First we will calculate the prime factors of 47870 and 47880.

Prime Factorization of 47870

Prime Factorization of 47880

Now multiplying the highest exponent prime factors to calculate the LCM of 47870 and 47880.

LCM(47870,47880) = 2³ × 5¹ × 4787¹ × 3² × 7¹ × 19¹
LCM(47870,47880) = 229201560