What is the Least Common Multiple of 82524 and 82536?

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 82524 and 82536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82524 and 82536, than apply into the LCM equation.

GCF(82524,82536) = 12
LCM(82524,82536) = ( 82524 × 82536) / 12
LCM(82524,82536) = 6811200864 / 12
LCM(82524,82536) = 567600072

Least Common Multiple (LCM) of 82524 and 82536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82524 and 82536. First we will calculate the prime factors of 82524 and 82536.

Prime Factorization of 82524

Prime Factorization of 82536

Now multiplying the highest exponent prime factors to calculate the LCM of 82524 and 82536.

LCM(82524,82536) = 2³ × 3¹ × 13¹ × 23² × 19¹ × 181¹
LCM(82524,82536) = 567600072