What is the Least Common Multiple of 2880 and 2896?

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 2896 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 2896, than apply into the LCM equation.

GCF(2880,2896) = 16
LCM(2880,2896) = ( 2880 × 2896) / 16
LCM(2880,2896) = 8340480 / 16
LCM(2880,2896) = 521280

Least Common Multiple (LCM) of 2880 and 2896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2880 and 2896. First we will calculate the prime factors of 2880 and 2896.

Prime Factorization of 2880

Prime Factorization of 2896

Now multiplying the highest exponent prime factors to calculate the LCM of 2880 and 2896.

LCM(2880,2896) = 2⁶ × 3² × 5¹ × 181¹
LCM(2880,2896) = 521280