What is the Least Common Multiple of 85821 and 85836?

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 85821 and 85836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85821 and 85836, than apply into the LCM equation.

GCF(85821,85836) = 3
LCM(85821,85836) = ( 85821 × 85836) / 3
LCM(85821,85836) = 7366531356 / 3
LCM(85821,85836) = 2455510452

Least Common Multiple (LCM) of 85821 and 85836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85821 and 85836. First we will calculate the prime factors of 85821 and 85836.

Prime Factorization of 85821

Prime Factorization of 85836

Now multiplying the highest exponent prime factors to calculate the LCM of 85821 and 85836.

LCM(85821,85836) = 3¹ × 28607¹ × 2² × 23¹ × 311¹
LCM(85821,85836) = 2455510452