What is the Least Common Multiple of 84822 and 84840?

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 84822 and 84840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84822 and 84840, than apply into the LCM equation.

GCF(84822,84840) = 6
LCM(84822,84840) = ( 84822 × 84840) / 6
LCM(84822,84840) = 7196298480 / 6
LCM(84822,84840) = 1199383080

Least Common Multiple (LCM) of 84822 and 84840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84822 and 84840. First we will calculate the prime factors of 84822 and 84840.

Prime Factorization of 84822

Prime Factorization of 84840

Now multiplying the highest exponent prime factors to calculate the LCM of 84822 and 84840.

LCM(84822,84840) = 2³ × 3¹ × 67¹ × 211¹ × 5¹ × 7¹ × 101¹
LCM(84822,84840) = 1199383080