Least Common Multiple of 4996 and 5000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4996 and 5000 the smallest integer that is 6245000 that is divisible by both numbers.

Least Common Multiple (LCM) of 4996 and 5000 is 6245000.

LCM(4996,5000) = 6245000

LCM of 4996 and 5000

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

LCM of:
and

Least Common Multiple of 4996 and 5000

LCM of 4996 and 5000 is 6245000

Least common multiple can be found by multiplying the highest exponent prime factors of 4996 and 5000. First we will calculate the prime factors of 4996 and 5000.

Prime Factorization of 4996


2 4996
2 2498
1249 1249
1

Prime factors of 4996 are 2,1249. Prime factorization of 4996 in exponential form is:

4996 = 22×12491

Prime Factorization of 5000


2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 5000 are 2,5. Prime factorization of 5000 in exponential form is:

5000 = 23×54

Now multiplying the highest exponent prime factors to calculate the LCM of 4996 and 5000.

LCM(4996,5000) = 23×54×12491
LCM(4996,5000) = 6245000

Factors of 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1, 2, 4, 1249, 2498, 4996

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

Least Common Multiple of 4996 and 5000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4996 and 5000, than apply into the LCM equation.

GCF(4996,5000) = 4
LCM(4996,5000) = ( 4996 × 5000) / 4
LCM(4996,5000) = 24980000 / 4
LCM(4996,5000) = 6245000

Properties of LCM 4996 and 5000

(i) The LCM of 5000 and 4996 is associative

LCM of 4996 and 5000 = LCM of 5000 and 4996

Related Least Common Multiples of 4996

Related Least Common Multiples of 5000

Frequently Asked Questions on LCM of 4996 and 5000

1. What is the LCM of 4996 and 5000?

Answer: LCM of 4996 and 5000 is 6245000.

2. What are the Factors of 4996?

Answer: Factors of 4996 are 1, 2, 4, 1249, 2498, 4996. There are 6 integers that are factors of 4996. The greatest factor of 4996 is 4996.

3. What are the Factors of 5000?

Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. There are 20 integers that are factors of 5000. The greatest factor of 5000 is 5000.

4. How to Find the LCM of 4996 and 5000?

Answer:

Least Common Multiple of 4996 and 5000 = 6245000

Step 1: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

Step 2: Find the prime factorization of 5000

5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5

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

LCM = 6245000 = 2 x 2 x 2 x 5 x 5 x 5 x 5 x 1249

Step 4: Therefore, the least common multiple of 4996 and 5000 is 6245000.