What is the Least Common Multiple of 2880 and 2889?

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 2880 and 2889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2880 and 2889, than apply into the LCM equation.

GCF(2880,2889) = 9
LCM(2880,2889) = ( 2880 × 2889) / 9
LCM(2880,2889) = 8320320 / 9
LCM(2880,2889) = 924480

Least Common Multiple (LCM) of 2880 and 2889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2880 and 2889. First we will calculate the prime factors of 2880 and 2889.

Prime Factorization of 2880

Prime Factorization of 2889

Now multiplying the highest exponent prime factors to calculate the LCM of 2880 and 2889.

LCM(2880,2889) = 2⁶ × 3³ × 5¹ × 107¹
LCM(2880,2889) = 924480