What is the Least Common Multiple of 82752 and 82756?

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 82756 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 82756, than apply into the LCM equation.

GCF(82752,82756) = 4
LCM(82752,82756) = ( 82752 × 82756) / 4
LCM(82752,82756) = 6848224512 / 4
LCM(82752,82756) = 1712056128

Least Common Multiple (LCM) of 82752 and 82756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82752 and 82756. First we will calculate the prime factors of 82752 and 82756.

Prime Factorization of 82752

Prime Factorization of 82756

Now multiplying the highest exponent prime factors to calculate the LCM of 82752 and 82756.

LCM(82752,82756) = 2⁶ × 3¹ × 431¹ × 17¹ × 1217¹
LCM(82752,82756) = 1712056128