What is the Least Common Multiple of 82814 and 82822?

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 82814 and 82822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82814 and 82822, than apply into the LCM equation.

GCF(82814,82822) = 2
LCM(82814,82822) = ( 82814 × 82822) / 2
LCM(82814,82822) = 6858821108 / 2
LCM(82814,82822) = 3429410554

Least Common Multiple (LCM) of 82814 and 82822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82814 and 82822. First we will calculate the prime factors of 82814 and 82822.

Prime Factorization of 82814

Prime Factorization of 82822

Now multiplying the highest exponent prime factors to calculate the LCM of 82814 and 82822.

LCM(82814,82822) = 2¹ × 47¹ × 881¹ × 41411¹
LCM(82814,82822) = 3429410554