What is the Least Common Multiple of 9822 and 9840?

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 9822 and 9840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9822 and 9840, than apply into the LCM equation.

GCF(9822,9840) = 6
LCM(9822,9840) = ( 9822 × 9840) / 6
LCM(9822,9840) = 96648480 / 6
LCM(9822,9840) = 16108080

Least Common Multiple (LCM) of 9822 and 9840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9822 and 9840. First we will calculate the prime factors of 9822 and 9840.

Prime Factorization of 9822

Prime Factorization of 9840

Now multiplying the highest exponent prime factors to calculate the LCM of 9822 and 9840.

LCM(9822,9840) = 2⁴ × 3¹ × 1637¹ × 5¹ × 41¹
LCM(9822,9840) = 16108080