Least Common Multiple of 4981 and 4986

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 4986 the smallest integer that is 24835266 that is divisible by both numbers.

Least Common Multiple (LCM) of 4981 and 4986 is 24835266.

LCM(4981,4986) = 24835266

LCM of 4981 and 4986

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

LCM of:
and

Least Common Multiple of 4981 and 4986

LCM of 4981 and 4986 is 24835266

Least common multiple can be found by multiplying the highest exponent prime factors of 4981 and 4986. First we will calculate the prime factors of 4981 and 4986.

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 4986


2 4986
3 2493
3 831
277 277
1

Prime factors of 4986 are 2, 3,277. Prime factorization of 4986 in exponential form is:

4986 = 21×32×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4981 and 4986.

LCM(4981,4986) = 21×32×171×2771×2931
LCM(4981,4986) = 24835266

Factors of 4981

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

1, 17, 293, 4981

Factors of 4986

List of positive integer factors of 4986 that divides 4986 without a remainder.

1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986

Least Common Multiple of 4981 and 4986 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 4986, than apply into the LCM equation.

GCF(4981,4986) = 1
LCM(4981,4986) = ( 4981 × 4986) / 1
LCM(4981,4986) = 24835266 / 1
LCM(4981,4986) = 24835266

Properties of LCM 4981 and 4986

(i) The LCM of 4986 and 4981 is associative

LCM of 4981 and 4986 = LCM of 4986 and 4981

Related Least Common Multiples of 4981

Related Least Common Multiples of 4986

Frequently Asked Questions on LCM of 4981 and 4986

1. What is the LCM of 4981 and 4986?

Answer: LCM of 4981 and 4986 is 24835266.

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 4986?

Answer: Factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986. There are 12 integers that are factors of 4986. The greatest factor of 4986 is 4986.

4. How to Find the LCM of 4981 and 4986?

Answer:

Least Common Multiple of 4981 and 4986 = 24835266

Step 1: Find the prime factorization of 4981

4981 = 17 x 293

Step 2: Find the prime factorization of 4986

4986 = 2 x 3 x 3 x 277

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

LCM = 24835266 = 2 x 3 x 3 x 17 x 277 x 293

Step 4: Therefore, the least common multiple of 4981 and 4986 is 24835266.