Least Common Multiple of 2981 and 2986

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 2986 the smallest integer that is 8901266 that is divisible by both numbers.

Least Common Multiple (LCM) of 2981 and 2986 is 8901266.

LCM(2981,2986) = 8901266

LCM of 2981 and 2986

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

LCM of:
and

Least Common Multiple of 2981 and 2986

LCM of 2981 and 2986 is 8901266

Least common multiple can be found by multiplying the highest exponent prime factors of 2981 and 2986. First we will calculate the prime factors of 2981 and 2986.

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 2986


2 2986
1493 1493
1

Prime factors of 2986 are 2,1493. Prime factorization of 2986 in exponential form is:

2986 = 21×14931

Now multiplying the highest exponent prime factors to calculate the LCM of 2981 and 2986.

LCM(2981,2986) = 21×111×2711×14931
LCM(2981,2986) = 8901266

Factors of 2981

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

1, 11, 271, 2981

Factors of 2986

List of positive integer factors of 2986 that divides 2986 without a remainder.

1, 2, 1493, 2986

Least Common Multiple of 2981 and 2986 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 2986, than apply into the LCM equation.

GCF(2981,2986) = 1
LCM(2981,2986) = ( 2981 × 2986) / 1
LCM(2981,2986) = 8901266 / 1
LCM(2981,2986) = 8901266

Properties of LCM 2981 and 2986

(i) The LCM of 2986 and 2981 is associative

LCM of 2981 and 2986 = LCM of 2986 and 2981

Related Least Common Multiples of 2981

Related Least Common Multiples of 2986

Frequently Asked Questions on LCM of 2981 and 2986

1. What is the LCM of 2981 and 2986?

Answer: LCM of 2981 and 2986 is 8901266.

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 2986?

Answer: Factors of 2986 are 1, 2, 1493, 2986. There are 4 integers that are factors of 2986. The greatest factor of 2986 is 2986.

4. How to Find the LCM of 2981 and 2986?

Answer:

Least Common Multiple of 2981 and 2986 = 8901266

Step 1: Find the prime factorization of 2981

2981 = 11 x 271

Step 2: Find the prime factorization of 2986

2986 = 2 x 1493

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

LCM = 8901266 = 2 x 11 x 271 x 1493

Step 4: Therefore, the least common multiple of 2981 and 2986 is 8901266.