Least Common Multiple of 4996 and 5002

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 5002 the smallest integer that is 12494996 that is divisible by both numbers.

Least Common Multiple (LCM) of 4996 and 5002 is 12494996.

LCM(4996,5002) = 12494996

LCM of 4996 and 5002

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

LCM of:
and

Least Common Multiple of 4996 and 5002

LCM of 4996 and 5002 is 12494996

Least common multiple can be found by multiplying the highest exponent prime factors of 4996 and 5002. First we will calculate the prime factors of 4996 and 5002.

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 5002


2 5002
41 2501
61 61
1

Prime factors of 5002 are 2, 41,61. Prime factorization of 5002 in exponential form is:

5002 = 21×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4996 and 5002.

LCM(4996,5002) = 22×411×611×12491
LCM(4996,5002) = 12494996

Factors of 4996

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

1, 2, 4, 1249, 2498, 4996

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1, 2, 41, 61, 82, 122, 2501, 5002

Least Common Multiple of 4996 and 5002 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 5002, than apply into the LCM equation.

GCF(4996,5002) = 2
LCM(4996,5002) = ( 4996 × 5002) / 2
LCM(4996,5002) = 24989992 / 2
LCM(4996,5002) = 12494996

Properties of LCM 4996 and 5002

(i) The LCM of 5002 and 4996 is associative

LCM of 4996 and 5002 = LCM of 5002 and 4996

Related Least Common Multiples of 4996

Related Least Common Multiples of 5002

Frequently Asked Questions on LCM of 4996 and 5002

1. What is the LCM of 4996 and 5002?

Answer: LCM of 4996 and 5002 is 12494996.

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 5002?

Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.

4. How to Find the LCM of 4996 and 5002?

Answer:

Least Common Multiple of 4996 and 5002 = 12494996

Step 1: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

Step 2: Find the prime factorization of 5002

5002 = 2 x 41 x 61

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

LCM = 12494996 = 2 x 2 x 41 x 61 x 1249

Step 4: Therefore, the least common multiple of 4996 and 5002 is 12494996.