What is the Least Common Multiple of 56823 and 56835?

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 56835 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 56835, than apply into the LCM equation.

GCF(56823,56835) = 3
LCM(56823,56835) = ( 56823 × 56835) / 3
LCM(56823,56835) = 3229535205 / 3
LCM(56823,56835) = 1076511735

Least Common Multiple (LCM) of 56823 and 56835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56823 and 56835. First we will calculate the prime factors of 56823 and 56835.

Prime Factorization of 56823

Prime Factorization of 56835

Now multiplying the highest exponent prime factors to calculate the LCM of 56823 and 56835.

LCM(56823,56835) = 3³ × 13¹ × 31¹ × 47¹ × 5¹ × 421¹
LCM(56823,56835) = 1076511735