What is the Least Common Multiple of 9828 and 9835?

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 9828 and 9835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9828 and 9835, than apply into the LCM equation.

GCF(9828,9835) = 7
LCM(9828,9835) = ( 9828 × 9835) / 7
LCM(9828,9835) = 96658380 / 7
LCM(9828,9835) = 13808340

Least Common Multiple (LCM) of 9828 and 9835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9828 and 9835. First we will calculate the prime factors of 9828 and 9835.

Prime Factorization of 9828

Prime Factorization of 9835

Now multiplying the highest exponent prime factors to calculate the LCM of 9828 and 9835.

LCM(9828,9835) = 2² × 3³ × 7¹ × 13¹ × 5¹ × 281¹
LCM(9828,9835) = 13808340