Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2995 and 2996 the smallest integer that is 8973020 that is divisible by both numbers.
Least Common Multiple (LCM) of 2995 and 2996 is 8973020.
LCM(2995,2996) = 8973020
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2995 and 2996. First we will calculate the prime factors of 2995 and 2996.
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
Prime Factorization of 2996
2 | 2996 |
2 | 1498 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 2996 are 2, 7,107. Prime factorization of 2996 in exponential form is:
2996 = 22×71×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 2995 and 2996.
LCM(2995,2996) = 22×51×71×1071×5991
LCM(2995,2996) = 8973020
Factors of 2995
List of positive integer factors of 2995 that divides 2995 without a remainder.
1, 5, 599, 2995
Factors of 2996
List of positive integer factors of 2996 that divides 2996 without a remainder.
1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2995 and 2996, than apply into the LCM equation.
GCF(2995,2996) = 1
LCM(2995,2996) = ( 2995 × 2996) / 1
LCM(2995,2996) = 8973020 / 1
LCM(2995,2996) = 8973020
(i) The LCM of 2996 and 2995 is associative
LCM of 2995 and 2996 = LCM of 2996 and 2995
1. What is the LCM of 2995 and 2996?
Answer: LCM of 2995 and 2996 is 8973020.
2. 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.
3. What are the Factors of 2996?
Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.
4. How to Find the LCM of 2995 and 2996?
Answer:
Least Common Multiple of 2995 and 2996 = 8973020
Step 1: Find the prime factorization of 2995
2995 = 5 x 599
Step 2: Find the prime factorization of 2996
2996 = 2 x 2 x 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8973020 = 2 x 2 x 5 x 7 x 107 x 599
Step 4: Therefore, the least common multiple of 2995 and 2996 is 8973020.