Least Common Multiple of 2914 and 2921
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2914 and 2921 the smallest integer that is 8511794 that is divisible by both numbers.
Least Common Multiple (LCM) of 2914 and 2921 is 8511794.
LCM(2914,2921) = 8511794
LCM of 2914 and 2921
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2914 and 2921 by Prime method
- Least Common Multiple of 2914 and 2921 with GCF Formula
LCM of 2914 and 2921 is 8511794
Least common multiple can be found by multiplying the highest exponent prime factors of 2914 and 2921. First we will calculate the prime factors of 2914 and 2921.
Prime Factorization of 2914
| 2 | 2914 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 2914 are 2, 31,47. Prime factorization of 2914 in exponential form is:
2914 = 21×311×471
Prime Factorization of 2921
| 23 | 2921 |
| 127 | 127 |
| 1 |
Prime factors of 2921 are 23,127. Prime factorization of 2921 in exponential form is:
2921 = 231×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 2914 and 2921.
LCM(2914,2921) = 21×231×311×471×1271
LCM(2914,2921) = 8511794
Factors of 2914
List of positive integer factors of 2914 that divides 2914 without a remainder.
1, 2, 31, 47, 62, 94, 1457, 2914
Factors of 2921
List of positive integer factors of 2921 that divides 2921 without a remainder.
1, 23, 127, 2921
Least Common Multiple of 2914 and 2921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2914 and 2921, than apply into the LCM equation.
GCF(2914,2921) = 1
LCM(2914,2921) = ( 2914 × 2921) / 1
LCM(2914,2921) = 8511794 / 1
LCM(2914,2921) = 8511794
Properties of LCM 2914 and 2921
(i) The LCM of 2921 and 2914 is associative
LCM of 2914 and 2921 = LCM of 2921 and 2914
Related Least Common Multiples of 2914
Related Least Common Multiples of 2921
Frequently Asked Questions on LCM of 2914 and 2921
1. What is the LCM of 2914 and 2921?
Answer: LCM of 2914 and 2921 is 8511794.
2. What are the Factors of 2914?
Answer: Factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914. There are 8 integers that are factors of 2914. The greatest factor of 2914 is 2914.
3. What are the Factors of 2921?
Answer: Factors of 2921 are 1, 23, 127, 2921. There are 4 integers that are factors of 2921. The greatest factor of 2921 is 2921.
4. How to Find the LCM of 2914 and 2921?
Answer:
Least Common Multiple of 2914 and 2921 = 8511794
Step 1: Find the prime factorization of 2914
2914 = 2 x 31 x 47
Step 2: Find the prime factorization of 2921
2921 = 23 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8511794 = 2 x 23 x 31 x 47 x 127
Step 4: Therefore, the least common multiple of 2914 and 2921 is 8511794.