Least Common Multiple of 2937 and 2941
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2937 and 2941 the smallest integer that is 8637717 that is divisible by both numbers.
Least Common Multiple (LCM) of 2937 and 2941 is 8637717.
LCM(2937,2941) = 8637717
LCM of 2937 and 2941
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2937 and 2941 by Prime method
- Least Common Multiple of 2937 and 2941 with GCF Formula
LCM of 2937 and 2941 is 8637717
Least common multiple can be found by multiplying the highest exponent prime factors of 2937 and 2941. First we will calculate the prime factors of 2937 and 2941.
Prime Factorization of 2937
| 3 | 2937 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 2937 are 3, 11,89. Prime factorization of 2937 in exponential form is:
2937 = 31×111×891
Prime Factorization of 2941
| 17 | 2941 |
| 173 | 173 |
| 1 |
Prime factors of 2941 are 17,173. Prime factorization of 2941 in exponential form is:
2941 = 171×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 2937 and 2941.
LCM(2937,2941) = 31×111×171×891×1731
LCM(2937,2941) = 8637717
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1, 3, 11, 33, 89, 267, 979, 2937
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1, 17, 173, 2941
Least Common Multiple of 2937 and 2941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2937 and 2941, than apply into the LCM equation.
GCF(2937,2941) = 1
LCM(2937,2941) = ( 2937 × 2941) / 1
LCM(2937,2941) = 8637717 / 1
LCM(2937,2941) = 8637717
Properties of LCM 2937 and 2941
(i) The LCM of 2941 and 2937 is associative
LCM of 2937 and 2941 = LCM of 2941 and 2937
Related Least Common Multiples of 2937
Related Least Common Multiples of 2941
Frequently Asked Questions on LCM of 2937 and 2941
1. What is the LCM of 2937 and 2941?
Answer: LCM of 2937 and 2941 is 8637717.
2. What are the Factors of 2937?
Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.
3. What are the Factors of 2941?
Answer: Factors of 2941 are 1, 17, 173, 2941. There are 4 integers that are factors of 2941. The greatest factor of 2941 is 2941.
4. How to Find the LCM of 2937 and 2941?
Answer:
Least Common Multiple of 2937 and 2941 = 8637717
Step 1: Find the prime factorization of 2937
2937 = 3 x 11 x 89
Step 2: Find the prime factorization of 2941
2941 = 17 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8637717 = 3 x 11 x 17 x 89 x 173
Step 4: Therefore, the least common multiple of 2937 and 2941 is 8637717.