What is the Least Common Multiple of 9824 and 9828?

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 9824 and 9828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9824 and 9828, than apply into the LCM equation.

GCF(9824,9828) = 4
LCM(9824,9828) = ( 9824 × 9828) / 4
LCM(9824,9828) = 96550272 / 4
LCM(9824,9828) = 24137568

Least Common Multiple (LCM) of 9824 and 9828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9824 and 9828. First we will calculate the prime factors of 9824 and 9828.

Prime Factorization of 9824

Prime Factorization of 9828

Now multiplying the highest exponent prime factors to calculate the LCM of 9824 and 9828.

LCM(9824,9828) = 2⁵ × 307¹ × 3³ × 7¹ × 13¹
LCM(9824,9828) = 24137568