What is the Least Common Multiple of 26823 and 26835?

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 26823 and 26835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26823 and 26835, than apply into the LCM equation.

GCF(26823,26835) = 3
LCM(26823,26835) = ( 26823 × 26835) / 3
LCM(26823,26835) = 719795205 / 3
LCM(26823,26835) = 239931735

Least Common Multiple (LCM) of 26823 and 26835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26823 and 26835. First we will calculate the prime factors of 26823 and 26835.

Prime Factorization of 26823

Prime Factorization of 26835

Now multiplying the highest exponent prime factors to calculate the LCM of 26823 and 26835.

LCM(26823,26835) = 3¹ × 8941¹ × 5¹ × 1789¹
LCM(26823,26835) = 239931735