Least Common Multiple of 2986 and 2991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2986 and 2991 the smallest integer that is 8931126 that is divisible by both numbers.

Least Common Multiple (LCM) of 2986 and 2991 is 8931126.

LCM(2986,2991) = 8931126

LCM of 2986 and 2991

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

LCM of:
and

Least Common Multiple of 2986 and 2991

LCM of 2986 and 2991 is 8931126

Least common multiple can be found by multiplying the highest exponent prime factors of 2986 and 2991. First we will calculate the prime factors of 2986 and 2991.

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

Prime Factorization of 2991


3 2991
997 997
1

Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:

2991 = 31×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 2986 and 2991.

LCM(2986,2991) = 21×31×9971×14931
LCM(2986,2991) = 8931126

Factors of 2986

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

1, 2, 1493, 2986

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1, 3, 997, 2991

Least Common Multiple of 2986 and 2991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2986 and 2991, than apply into the LCM equation.

GCF(2986,2991) = 1
LCM(2986,2991) = ( 2986 × 2991) / 1
LCM(2986,2991) = 8931126 / 1
LCM(2986,2991) = 8931126

Properties of LCM 2986 and 2991

(i) The LCM of 2991 and 2986 is associative

LCM of 2986 and 2991 = LCM of 2991 and 2986

Related Least Common Multiples of 2986

Related Least Common Multiples of 2991

Frequently Asked Questions on LCM of 2986 and 2991

1. What is the LCM of 2986 and 2991?

Answer: LCM of 2986 and 2991 is 8931126.

2. 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.

3. What are the Factors of 2991?

Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.

4. How to Find the LCM of 2986 and 2991?

Answer:

Least Common Multiple of 2986 and 2991 = 8931126

Step 1: Find the prime factorization of 2986

2986 = 2 x 1493

Step 2: Find the prime factorization of 2991

2991 = 3 x 997

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

LCM = 8931126 = 2 x 3 x 997 x 1493

Step 4: Therefore, the least common multiple of 2986 and 2991 is 8931126.