What is the Least Common Multiple of 56823 and 56829?

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 56823 and 56829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56823 and 56829, than apply into the LCM equation.

GCF(56823,56829) = 3
LCM(56823,56829) = ( 56823 × 56829) / 3
LCM(56823,56829) = 3229194267 / 3
LCM(56823,56829) = 1076398089

Least Common Multiple (LCM) of 56823 and 56829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56823 and 56829. First we will calculate the prime factors of 56823 and 56829.

Prime Factorization of 56823

Prime Factorization of 56829

Now multiplying the highest exponent prime factors to calculate the LCM of 56823 and 56829.

LCM(56823,56829) = 3¹ × 13¹ × 31¹ × 47¹ × 19¹ × 997¹
LCM(56823,56829) = 1076398089