What is the Least Common Multiple of 47871 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 47871 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 47871 and 47880, than apply into the LCM equation.

GCF(47871,47880) = 9
LCM(47871,47880) = ( 47871 × 47880) / 9
LCM(47871,47880) = 2292063480 / 9
LCM(47871,47880) = 254673720

Least Common Multiple (LCM) of 47871 and 47880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47871 and 47880. First we will calculate the prime factors of 47871 and 47880.

Prime Factorization of 47871

Prime Factorization of 47880

Now multiplying the highest exponent prime factors to calculate the LCM of 47871 and 47880.

LCM(47871,47880) = 3⁵ × 197¹ × 2³ × 5¹ × 7¹ × 19¹
LCM(47871,47880) = 254673720