What is the Least Common Multiple of 9828 and 9836?

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 9836 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 9836, than apply into the LCM equation.

GCF(9828,9836) = 4
LCM(9828,9836) = ( 9828 × 9836) / 4
LCM(9828,9836) = 96668208 / 4
LCM(9828,9836) = 24167052

Least Common Multiple (LCM) of 9828 and 9836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9828 and 9836. First we will calculate the prime factors of 9828 and 9836.

Prime Factorization of 9828

Prime Factorization of 9836

Now multiplying the highest exponent prime factors to calculate the LCM of 9828 and 9836.

LCM(9828,9836) = 2² × 3³ × 7¹ × 13¹ × 2459¹
LCM(9828,9836) = 24167052