What is the Least Common Multiple of 82752 and 82772?

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 82772 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 82772, than apply into the LCM equation.

GCF(82752,82772) = 4
LCM(82752,82772) = ( 82752 × 82772) / 4
LCM(82752,82772) = 6849548544 / 4
LCM(82752,82772) = 1712387136

Least Common Multiple (LCM) of 82752 and 82772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82752 and 82772. First we will calculate the prime factors of 82752 and 82772.

Prime Factorization of 82752

Prime Factorization of 82772

Now multiplying the highest exponent prime factors to calculate the LCM of 82752 and 82772.

LCM(82752,82772) = 2⁶ × 3¹ × 431¹ × 20693¹
LCM(82752,82772) = 1712387136