Least Common Multiple of 2988 and 2994

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 2994 the smallest integer that is 1491012 that is divisible by both numbers.

Least Common Multiple (LCM) of 2988 and 2994 is 1491012.

LCM(2988,2994) = 1491012

LCM of 2988 and 2994

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

LCM of:
and

Least Common Multiple of 2988 and 2994

LCM of 2988 and 2994 is 1491012

Least common multiple can be found by multiplying the highest exponent prime factors of 2988 and 2994. First we will calculate the prime factors of 2988 and 2994.

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 2994


2 2994
3 1497
499 499
1

Prime factors of 2994 are 2, 3,499. Prime factorization of 2994 in exponential form is:

2994 = 21×31×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 2988 and 2994.

LCM(2988,2994) = 22×32×831×4991
LCM(2988,2994) = 1491012

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 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1, 2, 3, 6, 499, 998, 1497, 2994

Least Common Multiple of 2988 and 2994 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 2994, than apply into the LCM equation.

GCF(2988,2994) = 6
LCM(2988,2994) = ( 2988 × 2994) / 6
LCM(2988,2994) = 8946072 / 6
LCM(2988,2994) = 1491012

Properties of LCM 2988 and 2994

(i) The LCM of 2994 and 2988 is associative

LCM of 2988 and 2994 = LCM of 2994 and 2988

Related Least Common Multiples of 2988

Related Least Common Multiples of 2994

Frequently Asked Questions on LCM of 2988 and 2994

1. What is the LCM of 2988 and 2994?

Answer: LCM of 2988 and 2994 is 1491012.

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 2994?

Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.

4. How to Find the LCM of 2988 and 2994?

Answer:

Least Common Multiple of 2988 and 2994 = 1491012

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 2994

2994 = 2 x 3 x 499

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

LCM = 1491012 = 2 x 2 x 3 x 3 x 83 x 499

Step 4: Therefore, the least common multiple of 2988 and 2994 is 1491012.