Least Common Multiple of 2988 and 2996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2988 and 2996 the smallest integer that is 2238012 that is divisible by both numbers.

Least Common Multiple (LCM) of 2988 and 2996 is 2238012.

LCM(2988,2996) = 2238012

LCM of 2988 and 2996

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

LCM of:
and

Least Common Multiple of 2988 and 2996

LCM of 2988 and 2996 is 2238012

Least common multiple can be found by multiplying the highest exponent prime factors of 2988 and 2996. First we will calculate the prime factors of 2988 and 2996.

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

Prime Factorization of 2996


2 2996
2 1498
7 749
107 107
1

Prime factors of 2996 are 2, 7,107. Prime factorization of 2996 in exponential form is:

2996 = 22×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2988 and 2996.

LCM(2988,2996) = 22×32×71×831×1071
LCM(2988,2996) = 2238012

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

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996

Least Common Multiple of 2988 and 2996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2988 and 2996, than apply into the LCM equation.

GCF(2988,2996) = 4
LCM(2988,2996) = ( 2988 × 2996) / 4
LCM(2988,2996) = 8952048 / 4
LCM(2988,2996) = 2238012

Properties of LCM 2988 and 2996

(i) The LCM of 2996 and 2988 is associative

LCM of 2988 and 2996 = LCM of 2996 and 2988

Related Least Common Multiples of 2988

Related Least Common Multiples of 2996

Frequently Asked Questions on LCM of 2988 and 2996

1. What is the LCM of 2988 and 2996?

Answer: LCM of 2988 and 2996 is 2238012.

2. 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.

3. What are the Factors of 2996?

Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.

4. How to Find the LCM of 2988 and 2996?

Answer:

Least Common Multiple of 2988 and 2996 = 2238012

Step 1: Find the prime factorization of 2988

2988 = 2 x 2 x 3 x 3 x 83

Step 2: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

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

LCM = 2238012 = 2 x 2 x 3 x 3 x 7 x 83 x 107

Step 4: Therefore, the least common multiple of 2988 and 2996 is 2238012.