What is the Least Common Multiple of 9825 and 9845?

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 9825 and 9845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9825 and 9845, than apply into the LCM equation.

GCF(9825,9845) = 5
LCM(9825,9845) = ( 9825 × 9845) / 5
LCM(9825,9845) = 96727125 / 5
LCM(9825,9845) = 19345425

Least Common Multiple (LCM) of 9825 and 9845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9825 and 9845. First we will calculate the prime factors of 9825 and 9845.

Prime Factorization of 9825

Prime Factorization of 9845

Now multiplying the highest exponent prime factors to calculate the LCM of 9825 and 9845.

LCM(9825,9845) = 3¹ × 5² × 131¹ × 11¹ × 179¹
LCM(9825,9845) = 19345425