What is the Least Common Multiple of 47880 and 47899?

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 47880 and 47899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47880 and 47899, than apply into the LCM equation.

GCF(47880,47899) = 19
LCM(47880,47899) = ( 47880 × 47899) / 19
LCM(47880,47899) = 2293404120 / 19
LCM(47880,47899) = 120705480

Least Common Multiple (LCM) of 47880 and 47899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47880 and 47899. First we will calculate the prime factors of 47880 and 47899.

Prime Factorization of 47880

Prime Factorization of 47899

Now multiplying the highest exponent prime factors to calculate the LCM of 47880 and 47899.

LCM(47880,47899) = 2³ × 3² × 5¹ × 7¹ × 19¹ × 2521¹
LCM(47880,47899) = 120705480