What is the Least Common Multiple of 9795 and 9804?

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 9795 and 9804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9795 and 9804, than apply into the LCM equation.

GCF(9795,9804) = 3
LCM(9795,9804) = ( 9795 × 9804) / 3
LCM(9795,9804) = 96030180 / 3
LCM(9795,9804) = 32010060

Least Common Multiple (LCM) of 9795 and 9804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9795 and 9804. First we will calculate the prime factors of 9795 and 9804.

Prime Factorization of 9795

Prime Factorization of 9804

Now multiplying the highest exponent prime factors to calculate the LCM of 9795 and 9804.

LCM(9795,9804) = 3¹ × 5¹ × 653¹ × 2² × 19¹ × 43¹
LCM(9795,9804) = 32010060