What is the Least Common Multiple of 82638 and 82650?

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 82638 and 82650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82638 and 82650, than apply into the LCM equation.

GCF(82638,82650) = 6
LCM(82638,82650) = ( 82638 × 82650) / 6
LCM(82638,82650) = 6830030700 / 6
LCM(82638,82650) = 1138338450

Least Common Multiple (LCM) of 82638 and 82650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82638 and 82650. First we will calculate the prime factors of 82638 and 82650.

Prime Factorization of 82638

Prime Factorization of 82650

Now multiplying the highest exponent prime factors to calculate the LCM of 82638 and 82650.

LCM(82638,82650) = 2¹ × 3² × 4591¹ × 5² × 19¹ × 29¹
LCM(82638,82650) = 1138338450