Least Common Multiple of 2981 and 2989

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 2989 the smallest integer that is 8910209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2981 and 2989 is 8910209.

LCM(2981,2989) = 8910209

LCM of 2981 and 2989

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

LCM of:
and

Least Common Multiple of 2981 and 2989

LCM of 2981 and 2989 is 8910209

Least common multiple can be found by multiplying the highest exponent prime factors of 2981 and 2989. First we will calculate the prime factors of 2981 and 2989.

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 2989


7 2989
7 427
61 61
1

Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:

2989 = 72×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2981 and 2989.

LCM(2981,2989) = 72×111×611×2711
LCM(2981,2989) = 8910209

Factors of 2981

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

1, 11, 271, 2981

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1, 7, 49, 61, 427, 2989

Least Common Multiple of 2981 and 2989 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 2989, than apply into the LCM equation.

GCF(2981,2989) = 1
LCM(2981,2989) = ( 2981 × 2989) / 1
LCM(2981,2989) = 8910209 / 1
LCM(2981,2989) = 8910209

Properties of LCM 2981 and 2989

(i) The LCM of 2989 and 2981 is associative

LCM of 2981 and 2989 = LCM of 2989 and 2981

Related Least Common Multiples of 2981

Related Least Common Multiples of 2989

Frequently Asked Questions on LCM of 2981 and 2989

1. What is the LCM of 2981 and 2989?

Answer: LCM of 2981 and 2989 is 8910209.

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 2989?

Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.

4. How to Find the LCM of 2981 and 2989?

Answer:

Least Common Multiple of 2981 and 2989 = 8910209

Step 1: Find the prime factorization of 2981

2981 = 11 x 271

Step 2: Find the prime factorization of 2989

2989 = 7 x 7 x 61

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

LCM = 8910209 = 7 x 7 x 11 x 61 x 271

Step 4: Therefore, the least common multiple of 2981 and 2989 is 8910209.