What is the Least Common Multiple of 84810 and 84822?

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 84810 and 84822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84810 and 84822, than apply into the LCM equation.

GCF(84810,84822) = 6
LCM(84810,84822) = ( 84810 × 84822) / 6
LCM(84810,84822) = 7193753820 / 6
LCM(84810,84822) = 1198958970

Least Common Multiple (LCM) of 84810 and 84822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84810 and 84822. First we will calculate the prime factors of 84810 and 84822.

Prime Factorization of 84810

Prime Factorization of 84822

Now multiplying the highest exponent prime factors to calculate the LCM of 84810 and 84822.

LCM(84810,84822) = 2¹ × 3¹ × 5¹ × 11¹ × 257¹ × 67¹ × 211¹
LCM(84810,84822) = 1198958970