Least Common Multiple of 2982 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 2982 and 2986 the smallest integer that is 4452126 that is divisible by both numbers.

Least Common Multiple (LCM) of 2982 and 2986 is 4452126.

LCM(2982,2986) = 4452126

LCM of 2982 and 2986

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

LCM of:
and

Least Common Multiple of 2982 and 2986

LCM of 2982 and 2986 is 4452126

Least common multiple can be found by multiplying the highest exponent prime factors of 2982 and 2986. First we will calculate the prime factors of 2982 and 2986.

Prime Factorization of 2982


2 2982
3 1491
7 497
71 71
1

Prime factors of 2982 are 2, 3, 7,71. Prime factorization of 2982 in exponential form is:

2982 = 21×31×71×711

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 2982 and 2986.

LCM(2982,2986) = 21×31×71×711×14931
LCM(2982,2986) = 4452126

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982

Factors of 2986

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

1, 2, 1493, 2986

Least Common Multiple of 2982 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 2982 and 2986, than apply into the LCM equation.

GCF(2982,2986) = 2
LCM(2982,2986) = ( 2982 × 2986) / 2
LCM(2982,2986) = 8904252 / 2
LCM(2982,2986) = 4452126

Properties of LCM 2982 and 2986

(i) The LCM of 2986 and 2982 is associative

LCM of 2982 and 2986 = LCM of 2986 and 2982

Related Least Common Multiples of 2982

Related Least Common Multiples of 2986

Frequently Asked Questions on LCM of 2982 and 2986

1. What is the LCM of 2982 and 2986?

Answer: LCM of 2982 and 2986 is 4452126.

2. What are the Factors of 2982?

Answer: Factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. There are 16 integers that are factors of 2982. The greatest factor of 2982 is 2982.

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 2982 and 2986?

Answer:

Least Common Multiple of 2982 and 2986 = 4452126

Step 1: Find the prime factorization of 2982

2982 = 2 x 3 x 7 x 71

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 = 4452126 = 2 x 3 x 7 x 71 x 1493

Step 4: Therefore, the least common multiple of 2982 and 2986 is 4452126.