What is the Least Common Multiple of 2814 and 2828?

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 2814 and 2828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2814 and 2828, than apply into the LCM equation.

GCF(2814,2828) = 14
LCM(2814,2828) = ( 2814 × 2828) / 14
LCM(2814,2828) = 7957992 / 14
LCM(2814,2828) = 568428

Least Common Multiple (LCM) of 2814 and 2828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2814 and 2828. First we will calculate the prime factors of 2814 and 2828.

Prime Factorization of 2814

Prime Factorization of 2828

Now multiplying the highest exponent prime factors to calculate the LCM of 2814 and 2828.

LCM(2814,2828) = 2² × 3¹ × 7¹ × 67¹ × 101¹
LCM(2814,2828) = 568428