What is the Least Common Multiple of 2854 and 2864?

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 2854 and 2864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2854 and 2864, than apply into the LCM equation.

GCF(2854,2864) = 2
LCM(2854,2864) = ( 2854 × 2864) / 2
LCM(2854,2864) = 8173856 / 2
LCM(2854,2864) = 4086928

Least Common Multiple (LCM) of 2854 and 2864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2854 and 2864. First we will calculate the prime factors of 2854 and 2864.

Prime Factorization of 2854

Prime Factorization of 2864

Now multiplying the highest exponent prime factors to calculate the LCM of 2854 and 2864.

LCM(2854,2864) = 2⁴ × 1427¹ × 179¹
LCM(2854,2864) = 4086928