Least Common Multiple of 4988 and 4994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4988 and 4994 the smallest integer that is 12455036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4988 and 4994 is 12455036.

LCM(4988,4994) = 12455036

LCM of 4988 and 4994

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

LCM of:
and

Least Common Multiple of 4988 and 4994

LCM of 4988 and 4994 is 12455036

Least common multiple can be found by multiplying the highest exponent prime factors of 4988 and 4994. First we will calculate the prime factors of 4988 and 4994.

Prime Factorization of 4988


2 4988
2 2494
29 1247
43 43
1

Prime factors of 4988 are 2, 29,43. Prime factorization of 4988 in exponential form is:

4988 = 22×291×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4988 and 4994.

LCM(4988,4994) = 22×111×291×431×2271
LCM(4988,4994) = 12455036

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988

Factors of 4994

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

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

Least Common Multiple of 4988 and 4994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4988 and 4994, than apply into the LCM equation.

GCF(4988,4994) = 2
LCM(4988,4994) = ( 4988 × 4994) / 2
LCM(4988,4994) = 24910072 / 2
LCM(4988,4994) = 12455036

Properties of LCM 4988 and 4994

(i) The LCM of 4994 and 4988 is associative

LCM of 4988 and 4994 = LCM of 4994 and 4988

Related Least Common Multiples of 4988

Related Least Common Multiples of 4994

Frequently Asked Questions on LCM of 4988 and 4994

1. What is the LCM of 4988 and 4994?

Answer: LCM of 4988 and 4994 is 12455036.

2. What are the Factors of 4988?

Answer: Factors of 4988 are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988. There are 12 integers that are factors of 4988. The greatest factor of 4988 is 4988.

3. 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.

4. How to Find the LCM of 4988 and 4994?

Answer:

Least Common Multiple of 4988 and 4994 = 12455036

Step 1: Find the prime factorization of 4988

4988 = 2 x 2 x 29 x 43

Step 2: Find the prime factorization of 4994

4994 = 2 x 11 x 227

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

LCM = 12455036 = 2 x 2 x 11 x 29 x 43 x 227

Step 4: Therefore, the least common multiple of 4988 and 4994 is 12455036.