Least Common Multiple of 9496 and 9501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9496 and 9501 the smallest integer that is 90221496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9496 and 9501 is 90221496.

LCM(9496,9501) = 90221496

LCM of 9496 and 9501

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

LCM of:
and

Least Common Multiple of 9496 and 9501

LCM of 9496 and 9501 is 90221496

Least common multiple can be found by multiplying the highest exponent prime factors of 9496 and 9501. First we will calculate the prime factors of 9496 and 9501.

Prime Factorization of 9496


2 9496
2 4748
2 2374
1187 1187
1

Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:

9496 = 23×11871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9496 and 9501.

LCM(9496,9501) = 23×31×11871×31671
LCM(9496,9501) = 90221496

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1, 2, 4, 8, 1187, 2374, 4748, 9496

Factors of 9501

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

1, 3, 3167, 9501

Least Common Multiple of 9496 and 9501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9496 and 9501, than apply into the LCM equation.

GCF(9496,9501) = 1
LCM(9496,9501) = ( 9496 × 9501) / 1
LCM(9496,9501) = 90221496 / 1
LCM(9496,9501) = 90221496

Properties of LCM 9496 and 9501

(i) The LCM of 9501 and 9496 is associative

LCM of 9496 and 9501 = LCM of 9501 and 9496

Frequently Asked Questions on LCM of 9496 and 9501

1. What is the LCM of 9496 and 9501?

Answer: LCM of 9496 and 9501 is 90221496.

2. What are the Factors of 9496?

Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.

3. 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.

4. How to Find the LCM of 9496 and 9501?

Answer:

Least Common Multiple of 9496 and 9501 = 90221496

Step 1: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

Step 2: Find the prime factorization of 9501

9501 = 3 x 3167

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

LCM = 90221496 = 2 x 2 x 2 x 3 x 1187 x 3167

Step 4: Therefore, the least common multiple of 9496 and 9501 is 90221496.