What is the Least Common Multiple of 2860 and 2871?

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 2860 and 2871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2860 and 2871, than apply into the LCM equation.

GCF(2860,2871) = 11
LCM(2860,2871) = ( 2860 × 2871) / 11
LCM(2860,2871) = 8211060 / 11
LCM(2860,2871) = 746460

Least Common Multiple (LCM) of 2860 and 2871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2860 and 2871. First we will calculate the prime factors of 2860 and 2871.

Prime Factorization of 2860

Prime Factorization of 2871

Now multiplying the highest exponent prime factors to calculate the LCM of 2860 and 2871.

LCM(2860,2871) = 2² × 5¹ × 11¹ × 13¹ × 3² × 29¹
LCM(2860,2871) = 746460