What is the Least Common Multiple of 9804 and 9824?

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 9804 and 9824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9804 and 9824, than apply into the LCM equation.

GCF(9804,9824) = 4
LCM(9804,9824) = ( 9804 × 9824) / 4
LCM(9804,9824) = 96314496 / 4
LCM(9804,9824) = 24078624

Least Common Multiple (LCM) of 9804 and 9824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9804 and 9824. First we will calculate the prime factors of 9804 and 9824.

Prime Factorization of 9804

Prime Factorization of 9824

Now multiplying the highest exponent prime factors to calculate the LCM of 9804 and 9824.

LCM(9804,9824) = 2⁵ × 3¹ × 19¹ × 43¹ × 307¹
LCM(9804,9824) = 24078624