What is the Least Common Multiple of 83823 and 83836?

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 83823 and 83836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83823 and 83836, than apply into the LCM equation.

GCF(83823,83836) = 1
LCM(83823,83836) = ( 83823 × 83836) / 1
LCM(83823,83836) = 7027385028 / 1
LCM(83823,83836) = 7027385028

Least Common Multiple (LCM) of 83823 and 83836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83823 and 83836. First we will calculate the prime factors of 83823 and 83836.

Prime Factorization of 83823

Prime Factorization of 83836

Now multiplying the highest exponent prime factors to calculate the LCM of 83823 and 83836.

LCM(83823,83836) = 3¹ × 27941¹ × 2² × 20959¹
LCM(83823,83836) = 7027385028