Least Common Multiple of 9505 and 9509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9505 and 9509 the smallest integer that is 90383045 that is divisible by both numbers.

Least Common Multiple (LCM) of 9505 and 9509 is 90383045.

LCM(9505,9509) = 90383045

LCM of 9505 and 9509

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9505 and 9509

LCM of 9505 and 9509 is 90383045

Least common multiple can be found by multiplying the highest exponent prime factors of 9505 and 9509. First we will calculate the prime factors of 9505 and 9509.

Prime Factorization of 9505


5 9505
1901 1901
1

Prime factors of 9505 are 5,1901. Prime factorization of 9505 in exponential form is:

9505 = 51×19011

Prime Factorization of 9509


37 9509
257 257
1

Prime factors of 9509 are 37,257. Prime factorization of 9509 in exponential form is:

9509 = 371×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9505 and 9509.

LCM(9505,9509) = 51×371×2571×19011
LCM(9505,9509) = 90383045

Factors of 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1, 5, 1901, 9505

Factors of 9509

List of positive integer factors of 9509 that divides 9509 without a remainder.

1, 37, 257, 9509

Least Common Multiple of 9505 and 9509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9505 and 9509, than apply into the LCM equation.

GCF(9505,9509) = 1
LCM(9505,9509) = ( 9505 × 9509) / 1
LCM(9505,9509) = 90383045 / 1
LCM(9505,9509) = 90383045

Properties of LCM 9505 and 9509

(i) The LCM of 9509 and 9505 is associative

LCM of 9505 and 9509 = LCM of 9509 and 9505

Related Least Common Multiples of 9505

Related Least Common Multiples of 9509

Frequently Asked Questions on LCM of 9505 and 9509

1. What is the LCM of 9505 and 9509?

Answer: LCM of 9505 and 9509 is 90383045.

2. What are the Factors of 9505?

Answer: Factors of 9505 are 1, 5, 1901, 9505. There are 4 integers that are factors of 9505. The greatest factor of 9505 is 9505.

3. What are the Factors of 9509?

Answer: Factors of 9509 are 1, 37, 257, 9509. There are 4 integers that are factors of 9509. The greatest factor of 9509 is 9509.

4. How to Find the LCM of 9505 and 9509?

Answer:

Least Common Multiple of 9505 and 9509 = 90383045

Step 1: Find the prime factorization of 9505

9505 = 5 x 1901

Step 2: Find the prime factorization of 9509

9509 = 37 x 257

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 90383045 = 5 x 37 x 257 x 1901

Step 4: Therefore, the least common multiple of 9505 and 9509 is 90383045.