Least Common Multiple of 2990 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 2990 and 2995 the smallest integer that is 1791010 that is divisible by both numbers.
Least Common Multiple (LCM) of 2990 and 2995 is 1791010.
LCM(2990,2995) = 1791010
LCM of 2990 and 2995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2990 and 2995 by Prime method
- Least Common Multiple of 2990 and 2995 with GCF Formula
LCM of 2990 and 2995 is 1791010
Least common multiple can be found by multiplying the highest exponent prime factors of 2990 and 2995. First we will calculate the prime factors of 2990 and 2995.
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
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 2990 and 2995.
LCM(2990,2995) = 21×51×131×231×5991
LCM(2990,2995) = 1791010
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
Factors of 2995
List of positive integer factors of 2995 that divides 2995 without a remainder.
1, 5, 599, 2995
Least Common Multiple of 2990 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 2990 and 2995, than apply into the LCM equation.
GCF(2990,2995) = 5
LCM(2990,2995) = ( 2990 × 2995) / 5
LCM(2990,2995) = 8955050 / 5
LCM(2990,2995) = 1791010
Properties of LCM 2990 and 2995
(i) The LCM of 2995 and 2990 is associative
LCM of 2990 and 2995 = LCM of 2995 and 2990
Related Least Common Multiples of 2990
Related Least Common Multiples of 2995
Frequently Asked Questions on LCM of 2990 and 2995
1. What is the LCM of 2990 and 2995?
Answer: LCM of 2990 and 2995 is 1791010.
2. 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.
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 2990 and 2995?
Answer:
Least Common Multiple of 2990 and 2995 = 1791010
Step 1: Find the prime factorization of 2990
2990 = 2 x 5 x 13 x 23
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 = 1791010 = 2 x 5 x 13 x 23 x 599
Step 4: Therefore, the least common multiple of 2990 and 2995 is 1791010.