What is the Least Common Multiple of 9805 and 9825?

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 9805 and 9825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9805 and 9825, than apply into the LCM equation.

GCF(9805,9825) = 5
LCM(9805,9825) = ( 9805 × 9825) / 5
LCM(9805,9825) = 96334125 / 5
LCM(9805,9825) = 19266825

Least Common Multiple (LCM) of 9805 and 9825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9805 and 9825. First we will calculate the prime factors of 9805 and 9825.

Prime Factorization of 9805

Prime Factorization of 9825

Now multiplying the highest exponent prime factors to calculate the LCM of 9805 and 9825.

LCM(9805,9825) = 5² × 37¹ × 53¹ × 3¹ × 131¹
LCM(9805,9825) = 19266825