Least Common Multiple of 2981 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 2981 and 2988 the smallest integer that is 8907228 that is divisible by both numbers.

Least Common Multiple (LCM) of 2981 and 2988 is 8907228.

LCM(2981,2988) = 8907228

LCM of 2981 and 2988

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

LCM of:
and

Least Common Multiple of 2981 and 2988

LCM of 2981 and 2988 is 8907228

Least common multiple can be found by multiplying the highest exponent prime factors of 2981 and 2988. First we will calculate the prime factors of 2981 and 2988.

Prime Factorization of 2981


11 2981
271 271
1

Prime factors of 2981 are 11,271. Prime factorization of 2981 in exponential form is:

2981 = 111×2711

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 2981 and 2988.

LCM(2981,2988) = 22×32×111×831×2711
LCM(2981,2988) = 8907228

Factors of 2981

List of positive integer factors of 2981 that divides 2981 without a remainder.

1, 11, 271, 2981

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 2981 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 2981 and 2988, than apply into the LCM equation.

GCF(2981,2988) = 1
LCM(2981,2988) = ( 2981 × 2988) / 1
LCM(2981,2988) = 8907228 / 1
LCM(2981,2988) = 8907228

Properties of LCM 2981 and 2988

(i) The LCM of 2988 and 2981 is associative

LCM of 2981 and 2988 = LCM of 2988 and 2981

Related Least Common Multiples of 2981

Related Least Common Multiples of 2988

Frequently Asked Questions on LCM of 2981 and 2988

1. What is the LCM of 2981 and 2988?

Answer: LCM of 2981 and 2988 is 8907228.

2. What are the Factors of 2981?

Answer: Factors of 2981 are 1, 11, 271, 2981. There are 4 integers that are factors of 2981. The greatest factor of 2981 is 2981.

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 2981 and 2988?

Answer:

Least Common Multiple of 2981 and 2988 = 8907228

Step 1: Find the prime factorization of 2981

2981 = 11 x 271

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 = 8907228 = 2 x 2 x 3 x 3 x 11 x 83 x 271

Step 4: Therefore, the least common multiple of 2981 and 2988 is 8907228.