What is the Least Common Multiple of 2798 and 2803?

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 2798 and 2803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2798 and 2803, than apply into the LCM equation.

GCF(2798,2803) = 1
LCM(2798,2803) = ( 2798 × 2803) / 1
LCM(2798,2803) = 7842794 / 1
LCM(2798,2803) = 7842794

Least Common Multiple (LCM) of 2798 and 2803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2798 and 2803. First we will calculate the prime factors of 2798 and 2803.

Prime Factorization of 2798

Prime Factorization of 2803

Now multiplying the highest exponent prime factors to calculate the LCM of 2798 and 2803.

LCM(2798,2803) = 2¹ × 1399¹ × 2803¹
LCM(2798,2803) = 7842794