What is the Least Common Multiple of 2814 and 2834?

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 2834 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 2834, than apply into the LCM equation.

GCF(2814,2834) = 2
LCM(2814,2834) = ( 2814 × 2834) / 2
LCM(2814,2834) = 7974876 / 2
LCM(2814,2834) = 3987438

Least Common Multiple (LCM) of 2814 and 2834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2814 and 2834. First we will calculate the prime factors of 2814 and 2834.

Prime Factorization of 2814

Prime Factorization of 2834

Now multiplying the highest exponent prime factors to calculate the LCM of 2814 and 2834.

LCM(2814,2834) = 2¹ × 3¹ × 7¹ × 67¹ × 13¹ × 109¹
LCM(2814,2834) = 3987438