Least Common Multiple of 4982 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 4982 and 4986 the smallest integer that is 12420126 that is divisible by both numbers.

Least Common Multiple (LCM) of 4982 and 4986 is 12420126.

LCM(4982,4986) = 12420126

LCM of 4982 and 4986

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

LCM of:
and

Least Common Multiple of 4982 and 4986

LCM of 4982 and 4986 is 12420126

Least common multiple can be found by multiplying the highest exponent prime factors of 4982 and 4986. First we will calculate the prime factors of 4982 and 4986.

Prime Factorization of 4982


2 4982
47 2491
53 53
1

Prime factors of 4982 are 2, 47,53. Prime factorization of 4982 in exponential form is:

4982 = 21×471×531

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 4982 and 4986.

LCM(4982,4986) = 21×32×471×531×2771
LCM(4982,4986) = 12420126

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1, 2, 47, 53, 94, 106, 2491, 4982

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 4982 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 4982 and 4986, than apply into the LCM equation.

GCF(4982,4986) = 2
LCM(4982,4986) = ( 4982 × 4986) / 2
LCM(4982,4986) = 24840252 / 2
LCM(4982,4986) = 12420126

Properties of LCM 4982 and 4986

(i) The LCM of 4986 and 4982 is associative

LCM of 4982 and 4986 = LCM of 4986 and 4982

Related Least Common Multiples of 4982

Related Least Common Multiples of 4986

Frequently Asked Questions on LCM of 4982 and 4986

1. What is the LCM of 4982 and 4986?

Answer: LCM of 4982 and 4986 is 12420126.

2. What are the Factors of 4982?

Answer: Factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982. There are 8 integers that are factors of 4982. The greatest factor of 4982 is 4982.

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 4982 and 4986?

Answer:

Least Common Multiple of 4982 and 4986 = 12420126

Step 1: Find the prime factorization of 4982

4982 = 2 x 47 x 53

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 = 12420126 = 2 x 3 x 3 x 47 x 53 x 277

Step 4: Therefore, the least common multiple of 4982 and 4986 is 12420126.