What is the Least Common Multiple of 48871 and 48886?

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 48871 and 48886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48871 and 48886, than apply into the LCM equation.

GCF(48871,48886) = 1
LCM(48871,48886) = ( 48871 × 48886) / 1
LCM(48871,48886) = 2389107706 / 1
LCM(48871,48886) = 2389107706

Least Common Multiple (LCM) of 48871 and 48886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48871 and 48886. First we will calculate the prime factors of 48871 and 48886.

Prime Factorization of 48871

Prime Factorization of 48886

Now multiplying the highest exponent prime factors to calculate the LCM of 48871 and 48886.

LCM(48871,48886) = 48871¹ × 2¹ × 24443¹
LCM(48871,48886) = 2389107706