What is the Least Common Multiple of 825 and 843?

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 825 and 843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 825 and 843, than apply into the LCM equation.

GCF(825,843) = 3
LCM(825,843) = ( 825 × 843) / 3
LCM(825,843) = 695475 / 3
LCM(825,843) = 231825

Least Common Multiple (LCM) of 825 and 843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 843. First we will calculate the prime factors of 825 and 843.

Prime Factorization of 825

Prime Factorization of 843

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 843.

LCM(825,843) = 3¹ × 5² × 11¹ × 281¹
LCM(825,843) = 231825