GCF and LCM Calculator Logo

What is the Least Common Multiple of 2854 and 2868?

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 (LCM) of 2854 and 2868 is 4092636.

LCM(2854,2868) = 4092636

LCM Calculator and
and

Least Common Multiple of 2854 and 2868 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 2868, than apply into the LCM equation.

GCF(2854,2868) = 2
LCM(2854,2868) = ( 2854 × 2868) / 2
LCM(2854,2868) = 8185272 / 2
LCM(2854,2868) = 4092636

Least Common Multiple (LCM) of 2854 and 2868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2854 and 2868. First we will calculate the prime factors of 2854 and 2868.

Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 21 × 14271

Prime Factorization of 2868

Prime factors of 2868 are 2, 3, 239. Prime factorization of 2868 in exponential form is:

2868 = 22 × 31 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2854 and 2868.

LCM(2854,2868) = 22 × 14271 × 31 × 2391
LCM(2854,2868) = 4092636