What is the Least Common Multiple of 82822 and 82828?

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 82822 and 82828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82822 and 82828, than apply into the LCM equation.

GCF(82822,82828) = 2
LCM(82822,82828) = ( 82822 × 82828) / 2
LCM(82822,82828) = 6859980616 / 2
LCM(82822,82828) = 3429990308

Least Common Multiple (LCM) of 82822 and 82828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82822 and 82828. First we will calculate the prime factors of 82822 and 82828.

Prime Factorization of 82822

Prime Factorization of 82828

Now multiplying the highest exponent prime factors to calculate the LCM of 82822 and 82828.

LCM(82822,82828) = 2² × 41411¹ × 20707¹
LCM(82822,82828) = 3429990308