Least Common Multiple of 8494 and 8500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8494 and 8500 the smallest integer that is 36099500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8494 and 8500 is 36099500.

LCM(8494,8500) = 36099500

LCM of 8494 and 8500

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

LCM of:
and

Least Common Multiple of 8494 and 8500

LCM of 8494 and 8500 is 36099500

Least common multiple can be found by multiplying the highest exponent prime factors of 8494 and 8500. First we will calculate the prime factors of 8494 and 8500.

Prime Factorization of 8494


2 8494
31 4247
137 137
1

Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:

8494 = 21×311×1371

Prime Factorization of 8500


2 8500
2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 8500 are 2, 5,17. Prime factorization of 8500 in exponential form is:

8500 = 22×53×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8494 and 8500.

LCM(8494,8500) = 22×53×171×311×1371
LCM(8494,8500) = 36099500

Factors of 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1, 2, 31, 62, 137, 274, 4247, 8494

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500

Least Common Multiple of 8494 and 8500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8494 and 8500, than apply into the LCM equation.

GCF(8494,8500) = 2
LCM(8494,8500) = ( 8494 × 8500) / 2
LCM(8494,8500) = 72199000 / 2
LCM(8494,8500) = 36099500

Properties of LCM 8494 and 8500

(i) The LCM of 8500 and 8494 is associative

LCM of 8494 and 8500 = LCM of 8500 and 8494

Related Least Common Multiples of 8494

Related Least Common Multiples of 8500

Frequently Asked Questions on LCM of 8494 and 8500

1. What is the LCM of 8494 and 8500?

Answer: LCM of 8494 and 8500 is 36099500.

2. What are the Factors of 8494?

Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.

3. What are the Factors of 8500?

Answer: Factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500. There are 24 integers that are factors of 8500. The greatest factor of 8500 is 8500.

4. How to Find the LCM of 8494 and 8500?

Answer:

Least Common Multiple of 8494 and 8500 = 36099500

Step 1: Find the prime factorization of 8494

8494 = 2 x 31 x 137

Step 2: Find the prime factorization of 8500

8500 = 2 x 2 x 5 x 5 x 5 x 17

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

LCM = 36099500 = 2 x 2 x 5 x 5 x 5 x 17 x 31 x 137

Step 4: Therefore, the least common multiple of 8494 and 8500 is 36099500.