What is the Least Common Multiple of 2805 and 2823?

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 2805 and 2823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2805 and 2823, than apply into the LCM equation.

GCF(2805,2823) = 3
LCM(2805,2823) = ( 2805 × 2823) / 3
LCM(2805,2823) = 7918515 / 3
LCM(2805,2823) = 2639505

Least Common Multiple (LCM) of 2805 and 2823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2805 and 2823. First we will calculate the prime factors of 2805 and 2823.

Prime Factorization of 2805

Prime Factorization of 2823

Now multiplying the highest exponent prime factors to calculate the LCM of 2805 and 2823.

LCM(2805,2823) = 3¹ × 5¹ × 11¹ × 17¹ × 941¹
LCM(2805,2823) = 2639505