Least Common Multiple of 9501 and 9505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9501 and 9505 the smallest integer that is 90307005 that is divisible by both numbers.

Least Common Multiple (LCM) of 9501 and 9505 is 90307005.

LCM(9501,9505) = 90307005

LCM of 9501 and 9505

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

LCM of:
and

Least Common Multiple of 9501 and 9505

LCM of 9501 and 9505 is 90307005

Least common multiple can be found by multiplying the highest exponent prime factors of 9501 and 9505. First we will calculate the prime factors of 9501 and 9505.

Prime Factorization of 9501


3 9501
3167 3167
1

Prime factors of 9501 are 3,3167. Prime factorization of 9501 in exponential form is:

9501 = 31×31671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9501 and 9505.

LCM(9501,9505) = 31×51×19011×31671
LCM(9501,9505) = 90307005

Factors of 9501

List of positive integer factors of 9501 that divides 9501 without a remainder.

1, 3, 3167, 9501

Factors of 9505

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

1, 5, 1901, 9505

Least Common Multiple of 9501 and 9505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9501 and 9505, than apply into the LCM equation.

GCF(9501,9505) = 1
LCM(9501,9505) = ( 9501 × 9505) / 1
LCM(9501,9505) = 90307005 / 1
LCM(9501,9505) = 90307005

Properties of LCM 9501 and 9505

(i) The LCM of 9505 and 9501 is associative

LCM of 9501 and 9505 = LCM of 9505 and 9501

Related Least Common Multiples of 9501

Related Least Common Multiples of 9505

Frequently Asked Questions on LCM of 9501 and 9505

1. What is the LCM of 9501 and 9505?

Answer: LCM of 9501 and 9505 is 90307005.

2. What are the Factors of 9501?

Answer: Factors of 9501 are 1, 3, 3167, 9501. There are 4 integers that are factors of 9501. The greatest factor of 9501 is 9501.

3. 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.

4. How to Find the LCM of 9501 and 9505?

Answer:

Least Common Multiple of 9501 and 9505 = 90307005

Step 1: Find the prime factorization of 9501

9501 = 3 x 3167

Step 2: Find the prime factorization of 9505

9505 = 5 x 1901

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

LCM = 90307005 = 3 x 5 x 1901 x 3167

Step 4: Therefore, the least common multiple of 9501 and 9505 is 90307005.