What is the Least Common Multiple of 82752 and 82764?

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 82752 and 82764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82752 and 82764, than apply into the LCM equation.

GCF(82752,82764) = 12
LCM(82752,82764) = ( 82752 × 82764) / 12
LCM(82752,82764) = 6848886528 / 12
LCM(82752,82764) = 570740544

Least Common Multiple (LCM) of 82752 and 82764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82752 and 82764. First we will calculate the prime factors of 82752 and 82764.

Prime Factorization of 82752

Prime Factorization of 82764

Now multiplying the highest exponent prime factors to calculate the LCM of 82752 and 82764.

LCM(82752,82764) = 2⁶ × 3² × 431¹ × 11² × 19¹
LCM(82752,82764) = 570740544