Least Common Multiple of 2986 and 2990

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 2990 the smallest integer that is 4464070 that is divisible by both numbers.

Least Common Multiple (LCM) of 2986 and 2990 is 4464070.

LCM(2986,2990) = 4464070

LCM of 2986 and 2990

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

LCM of:
and

Least Common Multiple of 2986 and 2990

LCM of 2986 and 2990 is 4464070

Least common multiple can be found by multiplying the highest exponent prime factors of 2986 and 2990. First we will calculate the prime factors of 2986 and 2990.

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 2990


2 2990
5 1495
13 299
23 23
1

Prime factors of 2990 are 2, 5, 13,23. Prime factorization of 2990 in exponential form is:

2990 = 21×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2986 and 2990.

LCM(2986,2990) = 21×51×131×231×14931
LCM(2986,2990) = 4464070

Factors of 2986

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

1, 2, 1493, 2986

Factors of 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990

Least Common Multiple of 2986 and 2990 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 2990, than apply into the LCM equation.

GCF(2986,2990) = 2
LCM(2986,2990) = ( 2986 × 2990) / 2
LCM(2986,2990) = 8928140 / 2
LCM(2986,2990) = 4464070

Properties of LCM 2986 and 2990

(i) The LCM of 2990 and 2986 is associative

LCM of 2986 and 2990 = LCM of 2990 and 2986

Related Least Common Multiples of 2986

Related Least Common Multiples of 2990

Frequently Asked Questions on LCM of 2986 and 2990

1. What is the LCM of 2986 and 2990?

Answer: LCM of 2986 and 2990 is 4464070.

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 2990?

Answer: Factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990. There are 16 integers that are factors of 2990. The greatest factor of 2990 is 2990.

4. How to Find the LCM of 2986 and 2990?

Answer:

Least Common Multiple of 2986 and 2990 = 4464070

Step 1: Find the prime factorization of 2986

2986 = 2 x 1493

Step 2: Find the prime factorization of 2990

2990 = 2 x 5 x 13 x 23

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

LCM = 4464070 = 2 x 5 x 13 x 23 x 1493

Step 4: Therefore, the least common multiple of 2986 and 2990 is 4464070.