Least Common Multiple of 4994 and 4996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4994 and 4996 the smallest integer that is 12475012 that is divisible by both numbers.

Least Common Multiple (LCM) of 4994 and 4996 is 12475012.

LCM(4994,4996) = 12475012

LCM of 4994 and 4996

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

LCM of:
and

Least Common Multiple of 4994 and 4996

LCM of 4994 and 4996 is 12475012

Least common multiple can be found by multiplying the highest exponent prime factors of 4994 and 4996. First we will calculate the prime factors of 4994 and 4996.

Prime Factorization of 4994


2 4994
11 2497
227 227
1

Prime factors of 4994 are 2, 11,227. Prime factorization of 4994 in exponential form is:

4994 = 21×111×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4994 and 4996.

LCM(4994,4996) = 22×111×2271×12491
LCM(4994,4996) = 12475012

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1, 2, 11, 22, 227, 454, 2497, 4994

Factors of 4996

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

1, 2, 4, 1249, 2498, 4996

Least Common Multiple of 4994 and 4996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4994 and 4996, than apply into the LCM equation.

GCF(4994,4996) = 2
LCM(4994,4996) = ( 4994 × 4996) / 2
LCM(4994,4996) = 24950024 / 2
LCM(4994,4996) = 12475012

Properties of LCM 4994 and 4996

(i) The LCM of 4996 and 4994 is associative

LCM of 4994 and 4996 = LCM of 4996 and 4994

Related Least Common Multiples of 4994

Related Least Common Multiples of 4996

Frequently Asked Questions on LCM of 4994 and 4996

1. What is the LCM of 4994 and 4996?

Answer: LCM of 4994 and 4996 is 12475012.

2. What are the Factors of 4994?

Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.

3. 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.

4. How to Find the LCM of 4994 and 4996?

Answer:

Least Common Multiple of 4994 and 4996 = 12475012

Step 1: Find the prime factorization of 4994

4994 = 2 x 11 x 227

Step 2: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

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

LCM = 12475012 = 2 x 2 x 11 x 227 x 1249

Step 4: Therefore, the least common multiple of 4994 and 4996 is 12475012.