Least Common Multiple of 4980 and 4982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4980 and 4982 the smallest integer that is 12405180 that is divisible by both numbers.

Least Common Multiple (LCM) of 4980 and 4982 is 12405180.

LCM(4980,4982) = 12405180

LCM of 4980 and 4982

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

LCM of:
and

Least Common Multiple of 4980 and 4982

LCM of 4980 and 4982 is 12405180

Least common multiple can be found by multiplying the highest exponent prime factors of 4980 and 4982. First we will calculate the prime factors of 4980 and 4982.

Prime Factorization of 4980


2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 4980 are 2, 3, 5,83. Prime factorization of 4980 in exponential form is:

4980 = 22×31×51×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4980 and 4982.

LCM(4980,4982) = 22×31×51×471×531×831
LCM(4980,4982) = 12405180

Factors of 4980

List of positive integer factors of 4980 that divides 4980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980

Factors of 4982

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

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

Least Common Multiple of 4980 and 4982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4980 and 4982, than apply into the LCM equation.

GCF(4980,4982) = 2
LCM(4980,4982) = ( 4980 × 4982) / 2
LCM(4980,4982) = 24810360 / 2
LCM(4980,4982) = 12405180

Properties of LCM 4980 and 4982

(i) The LCM of 4982 and 4980 is associative

LCM of 4980 and 4982 = LCM of 4982 and 4980

Related Least Common Multiples of 4980

Related Least Common Multiples of 4982

Frequently Asked Questions on LCM of 4980 and 4982

1. What is the LCM of 4980 and 4982?

Answer: LCM of 4980 and 4982 is 12405180.

2. What are the Factors of 4980?

Answer: Factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980. There are 24 integers that are factors of 4980. The greatest factor of 4980 is 4980.

3. 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.

4. How to Find the LCM of 4980 and 4982?

Answer:

Least Common Multiple of 4980 and 4982 = 12405180

Step 1: Find the prime factorization of 4980

4980 = 2 x 2 x 3 x 5 x 83

Step 2: Find the prime factorization of 4982

4982 = 2 x 47 x 53

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

LCM = 12405180 = 2 x 2 x 3 x 5 x 47 x 53 x 83

Step 4: Therefore, the least common multiple of 4980 and 4982 is 12405180.