What is the Least Common Multiple of 2789 and 2795?

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 2789 and 2795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2789 and 2795, than apply into the LCM equation.

GCF(2789,2795) = 1
LCM(2789,2795) = ( 2789 × 2795) / 1
LCM(2789,2795) = 7795255 / 1
LCM(2789,2795) = 7795255

Least Common Multiple (LCM) of 2789 and 2795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2795. First we will calculate the prime factors of 2789 and 2795.

Prime Factorization of 2789

Prime Factorization of 2795

Now multiplying the highest exponent prime factors to calculate the LCM of 2789 and 2795.

LCM(2789,2795) = 2789¹ × 5¹ × 13¹ × 43¹
LCM(2789,2795) = 7795255