What is the Least Common Multiple of 9525 and 9545?

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 9525 and 9545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9525 and 9545, than apply into the LCM equation.

GCF(9525,9545) = 5
LCM(9525,9545) = ( 9525 × 9545) / 5
LCM(9525,9545) = 90916125 / 5
LCM(9525,9545) = 18183225

Least Common Multiple (LCM) of 9525 and 9545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9545. First we will calculate the prime factors of 9525 and 9545.

Prime Factorization of 9525

Prime Factorization of 9545

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9545.

LCM(9525,9545) = 3¹ × 5² × 127¹ × 23¹ × 83¹
LCM(9525,9545) = 18183225