Least Common Multiple of 2987 and 2992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2987 and 2992 the smallest integer that is 8937104 that is divisible by both numbers.

Least Common Multiple (LCM) of 2987 and 2992 is 8937104.

LCM(2987,2992) = 8937104

LCM of 2987 and 2992

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

LCM of:
and

Least Common Multiple of 2987 and 2992

LCM of 2987 and 2992 is 8937104

Least common multiple can be found by multiplying the highest exponent prime factors of 2987 and 2992. First we will calculate the prime factors of 2987 and 2992.

Prime Factorization of 2987


29 2987
103 103
1

Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:

2987 = 291×1031

Prime Factorization of 2992


2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 2992 are 2, 11,17. Prime factorization of 2992 in exponential form is:

2992 = 24×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2987 and 2992.

LCM(2987,2992) = 24×111×171×291×1031
LCM(2987,2992) = 8937104

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1, 29, 103, 2987

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

Least Common Multiple of 2987 and 2992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2987 and 2992, than apply into the LCM equation.

GCF(2987,2992) = 1
LCM(2987,2992) = ( 2987 × 2992) / 1
LCM(2987,2992) = 8937104 / 1
LCM(2987,2992) = 8937104

Properties of LCM 2987 and 2992

(i) The LCM of 2992 and 2987 is associative

LCM of 2987 and 2992 = LCM of 2992 and 2987

Related Least Common Multiples of 2987

Related Least Common Multiples of 2992

Frequently Asked Questions on LCM of 2987 and 2992

1. What is the LCM of 2987 and 2992?

Answer: LCM of 2987 and 2992 is 8937104.

2. What are the Factors of 2987?

Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.

3. What are the Factors of 2992?

Answer: Factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. There are 20 integers that are factors of 2992. The greatest factor of 2992 is 2992.

4. How to Find the LCM of 2987 and 2992?

Answer:

Least Common Multiple of 2987 and 2992 = 8937104

Step 1: Find the prime factorization of 2987

2987 = 29 x 103

Step 2: Find the prime factorization of 2992

2992 = 2 x 2 x 2 x 2 x 11 x 17

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

LCM = 8937104 = 2 x 2 x 2 x 2 x 11 x 17 x 29 x 103

Step 4: Therefore, the least common multiple of 2987 and 2992 is 8937104.