Least Common Multiple of 2987 and 2995

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 2995 the smallest integer that is 8946065 that is divisible by both numbers.

Least Common Multiple (LCM) of 2987 and 2995 is 8946065.

LCM(2987,2995) = 8946065

LCM of 2987 and 2995

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

LCM of:
and

Least Common Multiple of 2987 and 2995

LCM of 2987 and 2995 is 8946065

Least common multiple can be found by multiplying the highest exponent prime factors of 2987 and 2995. First we will calculate the prime factors of 2987 and 2995.

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 2995


5 2995
599 599
1

Prime factors of 2995 are 5,599. Prime factorization of 2995 in exponential form is:

2995 = 51×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 2987 and 2995.

LCM(2987,2995) = 51×291×1031×5991
LCM(2987,2995) = 8946065

Factors of 2987

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

1, 29, 103, 2987

Factors of 2995

List of positive integer factors of 2995 that divides 2995 without a remainder.

1, 5, 599, 2995

Least Common Multiple of 2987 and 2995 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 2995, than apply into the LCM equation.

GCF(2987,2995) = 1
LCM(2987,2995) = ( 2987 × 2995) / 1
LCM(2987,2995) = 8946065 / 1
LCM(2987,2995) = 8946065

Properties of LCM 2987 and 2995

(i) The LCM of 2995 and 2987 is associative

LCM of 2987 and 2995 = LCM of 2995 and 2987

Related Least Common Multiples of 2987

Related Least Common Multiples of 2995

Frequently Asked Questions on LCM of 2987 and 2995

1. What is the LCM of 2987 and 2995?

Answer: LCM of 2987 and 2995 is 8946065.

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 2995?

Answer: Factors of 2995 are 1, 5, 599, 2995. There are 4 integers that are factors of 2995. The greatest factor of 2995 is 2995.

4. How to Find the LCM of 2987 and 2995?

Answer:

Least Common Multiple of 2987 and 2995 = 8946065

Step 1: Find the prime factorization of 2987

2987 = 29 x 103

Step 2: Find the prime factorization of 2995

2995 = 5 x 599

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

LCM = 8946065 = 5 x 29 x 103 x 599

Step 4: Therefore, the least common multiple of 2987 and 2995 is 8946065.