Least Common Multiple of 9492 and 9500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9492 and 9500 the smallest integer that is 22543500 that is divisible by both numbers.

Least Common Multiple (LCM) of 9492 and 9500 is 22543500.

LCM(9492,9500) = 22543500

LCM of 9492 and 9500

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

LCM of:
and

Least Common Multiple of 9492 and 9500

LCM of 9492 and 9500 is 22543500

Least common multiple can be found by multiplying the highest exponent prime factors of 9492 and 9500. First we will calculate the prime factors of 9492 and 9500.

Prime Factorization of 9492


2 9492
2 4746
3 2373
7 791
113 113
1

Prime factors of 9492 are 2, 3, 7,113. Prime factorization of 9492 in exponential form is:

9492 = 22×31×71×1131

Prime Factorization of 9500


2 9500
2 4750
5 2375
5 475
5 95
19 19
1

Prime factors of 9500 are 2, 5,19. Prime factorization of 9500 in exponential form is:

9500 = 22×53×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9492 and 9500.

LCM(9492,9500) = 22×31×53×71×191×1131
LCM(9492,9500) = 22543500

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500

Least Common Multiple of 9492 and 9500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9492 and 9500, than apply into the LCM equation.

GCF(9492,9500) = 4
LCM(9492,9500) = ( 9492 × 9500) / 4
LCM(9492,9500) = 90174000 / 4
LCM(9492,9500) = 22543500

Properties of LCM 9492 and 9500

(i) The LCM of 9500 and 9492 is associative

LCM of 9492 and 9500 = LCM of 9500 and 9492

Related Least Common Multiples of 9492

Related Least Common Multiples of 9500

Frequently Asked Questions on LCM of 9492 and 9500

1. What is the LCM of 9492 and 9500?

Answer: LCM of 9492 and 9500 is 22543500.

2. What are the Factors of 9492?

Answer: Factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492. There are 24 integers that are factors of 9492. The greatest factor of 9492 is 9492.

3. What are the Factors of 9500?

Answer: Factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500. There are 24 integers that are factors of 9500. The greatest factor of 9500 is 9500.

4. How to Find the LCM of 9492 and 9500?

Answer:

Least Common Multiple of 9492 and 9500 = 22543500

Step 1: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 9500

9500 = 2 x 2 x 5 x 5 x 5 x 19

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

LCM = 22543500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 19 x 113

Step 4: Therefore, the least common multiple of 9492 and 9500 is 22543500.