What is the Least Common Multiple of 2868 and 2880?

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 2868 and 2880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2868 and 2880, than apply into the LCM equation.

GCF(2868,2880) = 12
LCM(2868,2880) = ( 2868 × 2880) / 12
LCM(2868,2880) = 8259840 / 12
LCM(2868,2880) = 688320

Least Common Multiple (LCM) of 2868 and 2880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2868 and 2880. First we will calculate the prime factors of 2868 and 2880.

Prime Factorization of 2868

Prime Factorization of 2880

Now multiplying the highest exponent prime factors to calculate the LCM of 2868 and 2880.

LCM(2868,2880) = 2⁶ × 3² × 239¹ × 5¹
LCM(2868,2880) = 688320