What is the Least Common Multiple of 82816 and 82820?

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 82816 and 82820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82816 and 82820, than apply into the LCM equation.

GCF(82816,82820) = 4
LCM(82816,82820) = ( 82816 × 82820) / 4
LCM(82816,82820) = 6858821120 / 4
LCM(82816,82820) = 1714705280

Least Common Multiple (LCM) of 82816 and 82820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82816 and 82820. First we will calculate the prime factors of 82816 and 82820.

Prime Factorization of 82816

Prime Factorization of 82820

Now multiplying the highest exponent prime factors to calculate the LCM of 82816 and 82820.

LCM(82816,82820) = 2⁷ × 647¹ × 5¹ × 41¹ × 101¹
LCM(82816,82820) = 1714705280