What is the Least Common Multiple of 2871 and 2882?

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 2871 and 2882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2871 and 2882, than apply into the LCM equation.

GCF(2871,2882) = 11
LCM(2871,2882) = ( 2871 × 2882) / 11
LCM(2871,2882) = 8274222 / 11
LCM(2871,2882) = 752202

Least Common Multiple (LCM) of 2871 and 2882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2871 and 2882. First we will calculate the prime factors of 2871 and 2882.

Prime Factorization of 2871

Prime Factorization of 2882

Now multiplying the highest exponent prime factors to calculate the LCM of 2871 and 2882.

LCM(2871,2882) = 3² × 11¹ × 29¹ × 2¹ × 131¹
LCM(2871,2882) = 752202