Least Common Multiple of 2982 and 2988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2982 and 2988 the smallest integer that is 1485036 that is divisible by both numbers.

Least Common Multiple (LCM) of 2982 and 2988 is 1485036.

LCM(2982,2988) = 1485036

LCM of 2982 and 2988

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

LCM of:
and

Least Common Multiple of 2982 and 2988

LCM of 2982 and 2988 is 1485036

Least common multiple can be found by multiplying the highest exponent prime factors of 2982 and 2988. First we will calculate the prime factors of 2982 and 2988.

Prime Factorization of 2982


2 2982
3 1491
7 497
71 71
1

Prime factors of 2982 are 2, 3, 7,71. Prime factorization of 2982 in exponential form is:

2982 = 21×31×71×711

Prime Factorization of 2988


2 2988
2 1494
3 747
3 249
83 83
1

Prime factors of 2988 are 2, 3,83. Prime factorization of 2988 in exponential form is:

2988 = 22×32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2982 and 2988.

LCM(2982,2988) = 22×32×71×711×831
LCM(2982,2988) = 1485036

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982

Factors of 2988

List of positive integer factors of 2988 that divides 2988 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988

Least Common Multiple of 2982 and 2988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2982 and 2988, than apply into the LCM equation.

GCF(2982,2988) = 6
LCM(2982,2988) = ( 2982 × 2988) / 6
LCM(2982,2988) = 8910216 / 6
LCM(2982,2988) = 1485036

Properties of LCM 2982 and 2988

(i) The LCM of 2988 and 2982 is associative

LCM of 2982 and 2988 = LCM of 2988 and 2982

Related Least Common Multiples of 2982

Related Least Common Multiples of 2988

Frequently Asked Questions on LCM of 2982 and 2988

1. What is the LCM of 2982 and 2988?

Answer: LCM of 2982 and 2988 is 1485036.

2. What are the Factors of 2982?

Answer: Factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. There are 16 integers that are factors of 2982. The greatest factor of 2982 is 2982.

3. What are the Factors of 2988?

Answer: Factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988. There are 18 integers that are factors of 2988. The greatest factor of 2988 is 2988.

4. How to Find the LCM of 2982 and 2988?

Answer:

Least Common Multiple of 2982 and 2988 = 1485036

Step 1: Find the prime factorization of 2982

2982 = 2 x 3 x 7 x 71

Step 2: Find the prime factorization of 2988

2988 = 2 x 2 x 3 x 3 x 83

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

LCM = 1485036 = 2 x 2 x 3 x 3 x 7 x 71 x 83

Step 4: Therefore, the least common multiple of 2982 and 2988 is 1485036.