What is the Least Common Multiple of 9822 and 9830?

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 9830 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 9830, than apply into the LCM equation.

GCF(9822,9830) = 2
LCM(9822,9830) = ( 9822 × 9830) / 2
LCM(9822,9830) = 96550260 / 2
LCM(9822,9830) = 48275130

Least Common Multiple (LCM) of 9822 and 9830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9822 and 9830. First we will calculate the prime factors of 9822 and 9830.

Prime Factorization of 9822

Prime Factorization of 9830

Now multiplying the highest exponent prime factors to calculate the LCM of 9822 and 9830.

LCM(9822,9830) = 2¹ × 3¹ × 1637¹ × 5¹ × 983¹
LCM(9822,9830) = 48275130