Least Common Multiple of 4981 and 4988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4981 and 4988 the smallest integer that is 24845228 that is divisible by both numbers.

Least Common Multiple (LCM) of 4981 and 4988 is 24845228.

LCM(4981,4988) = 24845228

LCM of 4981 and 4988

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

LCM of:
and

Least Common Multiple of 4981 and 4988

LCM of 4981 and 4988 is 24845228

Least common multiple can be found by multiplying the highest exponent prime factors of 4981 and 4988. First we will calculate the prime factors of 4981 and 4988.

Prime Factorization of 4981


17 4981
293 293
1

Prime factors of 4981 are 17,293. Prime factorization of 4981 in exponential form is:

4981 = 171×2931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4981 and 4988.

LCM(4981,4988) = 22×171×291×431×2931
LCM(4981,4988) = 24845228

Factors of 4981

List of positive integer factors of 4981 that divides 4981 without a remainder.

1, 17, 293, 4981

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

Least Common Multiple of 4981 and 4988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4981 and 4988, than apply into the LCM equation.

GCF(4981,4988) = 1
LCM(4981,4988) = ( 4981 × 4988) / 1
LCM(4981,4988) = 24845228 / 1
LCM(4981,4988) = 24845228

Properties of LCM 4981 and 4988

(i) The LCM of 4988 and 4981 is associative

LCM of 4981 and 4988 = LCM of 4988 and 4981

Related Least Common Multiples of 4981

Related Least Common Multiples of 4988

Frequently Asked Questions on LCM of 4981 and 4988

1. What is the LCM of 4981 and 4988?

Answer: LCM of 4981 and 4988 is 24845228.

2. What are the Factors of 4981?

Answer: Factors of 4981 are 1, 17, 293, 4981. There are 4 integers that are factors of 4981. The greatest factor of 4981 is 4981.

3. 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.

4. How to Find the LCM of 4981 and 4988?

Answer:

Least Common Multiple of 4981 and 4988 = 24845228

Step 1: Find the prime factorization of 4981

4981 = 17 x 293

Step 2: Find the prime factorization of 4988

4988 = 2 x 2 x 29 x 43

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

LCM = 24845228 = 2 x 2 x 17 x 29 x 43 x 293

Step 4: Therefore, the least common multiple of 4981 and 4988 is 24845228.