What is the Least Common Multiple of 29823 and 29835?

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 29823 and 29835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29823 and 29835, than apply into the LCM equation.

GCF(29823,29835) = 3
LCM(29823,29835) = ( 29823 × 29835) / 3
LCM(29823,29835) = 889769205 / 3
LCM(29823,29835) = 296589735

Least Common Multiple (LCM) of 29823 and 29835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29823 and 29835. First we will calculate the prime factors of 29823 and 29835.

Prime Factorization of 29823

Prime Factorization of 29835

Now multiplying the highest exponent prime factors to calculate the LCM of 29823 and 29835.

LCM(29823,29835) = 3³ × 9941¹ × 5¹ × 13¹ × 17¹
LCM(29823,29835) = 296589735