Least Common Multiple of 4980 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 4980 and 4988 the smallest integer that is 6210060 that is divisible by both numbers.

Least Common Multiple (LCM) of 4980 and 4988 is 6210060.

LCM(4980,4988) = 6210060

LCM of 4980 and 4988

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

LCM of:
and

Least Common Multiple of 4980 and 4988

LCM of 4980 and 4988 is 6210060

Least common multiple can be found by multiplying the highest exponent prime factors of 4980 and 4988. First we will calculate the prime factors of 4980 and 4988.

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 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 4980 and 4988.

LCM(4980,4988) = 22×31×51×291×431×831
LCM(4980,4988) = 6210060

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 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 4980 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 4980 and 4988, than apply into the LCM equation.

GCF(4980,4988) = 4
LCM(4980,4988) = ( 4980 × 4988) / 4
LCM(4980,4988) = 24840240 / 4
LCM(4980,4988) = 6210060

Properties of LCM 4980 and 4988

(i) The LCM of 4988 and 4980 is associative

LCM of 4980 and 4988 = LCM of 4988 and 4980

Related Least Common Multiples of 4980

Related Least Common Multiples of 4988

Frequently Asked Questions on LCM of 4980 and 4988

1. What is the LCM of 4980 and 4988?

Answer: LCM of 4980 and 4988 is 6210060.

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 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 4980 and 4988?

Answer:

Least Common Multiple of 4980 and 4988 = 6210060

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 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 = 6210060 = 2 x 2 x 3 x 5 x 29 x 43 x 83

Step 4: Therefore, the least common multiple of 4980 and 4988 is 6210060.