Least Common Multiple of 9505 and 9507

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 9507 the smallest integer that is 90364035 that is divisible by both numbers.

Least Common Multiple (LCM) of 9505 and 9507 is 90364035.

LCM(9505,9507) = 90364035

LCM of 9505 and 9507

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

LCM of:
and

Least Common Multiple of 9505 and 9507

LCM of 9505 and 9507 is 90364035

Least common multiple can be found by multiplying the highest exponent prime factors of 9505 and 9507. First we will calculate the prime factors of 9505 and 9507.

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 9507


3 9507
3169 3169
1

Prime factors of 9507 are 3,3169. Prime factorization of 9507 in exponential form is:

9507 = 31×31691

Now multiplying the highest exponent prime factors to calculate the LCM of 9505 and 9507.

LCM(9505,9507) = 31×51×19011×31691
LCM(9505,9507) = 90364035

Factors of 9505

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

1, 5, 1901, 9505

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1, 3, 3169, 9507

Least Common Multiple of 9505 and 9507 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 9507, than apply into the LCM equation.

GCF(9505,9507) = 1
LCM(9505,9507) = ( 9505 × 9507) / 1
LCM(9505,9507) = 90364035 / 1
LCM(9505,9507) = 90364035

Properties of LCM 9505 and 9507

(i) The LCM of 9507 and 9505 is associative

LCM of 9505 and 9507 = LCM of 9507 and 9505

Related Least Common Multiples of 9505

Related Least Common Multiples of 9507

Frequently Asked Questions on LCM of 9505 and 9507

1. What is the LCM of 9505 and 9507?

Answer: LCM of 9505 and 9507 is 90364035.

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 9507?

Answer: Factors of 9507 are 1, 3, 3169, 9507. There are 4 integers that are factors of 9507. The greatest factor of 9507 is 9507.

4. How to Find the LCM of 9505 and 9507?

Answer:

Least Common Multiple of 9505 and 9507 = 90364035

Step 1: Find the prime factorization of 9505

9505 = 5 x 1901

Step 2: Find the prime factorization of 9507

9507 = 3 x 3169

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

LCM = 90364035 = 3 x 5 x 1901 x 3169

Step 4: Therefore, the least common multiple of 9505 and 9507 is 90364035.