What is the Least Common Multiple of 65823 and 65835?

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 65823 and 65835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65823 and 65835, than apply into the LCM equation.

GCF(65823,65835) = 3
LCM(65823,65835) = ( 65823 × 65835) / 3
LCM(65823,65835) = 4333457205 / 3
LCM(65823,65835) = 1444485735

Least Common Multiple (LCM) of 65823 and 65835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65823 and 65835. First we will calculate the prime factors of 65823 and 65835.

Prime Factorization of 65823

Prime Factorization of 65835

Now multiplying the highest exponent prime factors to calculate the LCM of 65823 and 65835.

LCM(65823,65835) = 3² × 37¹ × 593¹ × 5¹ × 7¹ × 11¹ × 19¹
LCM(65823,65835) = 1444485735