What is the Least Common Multiple of 2790 and 2799?

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 2790 and 2799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2790 and 2799, than apply into the LCM equation.

GCF(2790,2799) = 9
LCM(2790,2799) = ( 2790 × 2799) / 9
LCM(2790,2799) = 7809210 / 9
LCM(2790,2799) = 867690

Least Common Multiple (LCM) of 2790 and 2799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2790 and 2799. First we will calculate the prime factors of 2790 and 2799.

Prime Factorization of 2790

Prime Factorization of 2799

Now multiplying the highest exponent prime factors to calculate the LCM of 2790 and 2799.

LCM(2790,2799) = 2¹ × 3² × 5¹ × 31¹ × 311¹
LCM(2790,2799) = 867690