Least Common Multiple of 2913 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 2913 and 2921 the smallest integer that is 8508873 that is divisible by both numbers.
Least Common Multiple (LCM) of 2913 and 2921 is 8508873.
LCM(2913,2921) = 8508873
LCM of 2913 and 2921
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2913 and 2921 by Prime method
- Least Common Multiple of 2913 and 2921 with GCF Formula
LCM of 2913 and 2921 is 8508873
Least common multiple can be found by multiplying the highest exponent prime factors of 2913 and 2921. First we will calculate the prime factors of 2913 and 2921.
Prime Factorization of 2913
| 3 | 2913 |
| 971 | 971 |
| 1 |
Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:
2913 = 31×9711
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 2913 and 2921.
LCM(2913,2921) = 31×231×1271×9711
LCM(2913,2921) = 8508873
Factors of 2913
List of positive integer factors of 2913 that divides 2913 without a remainder.
1, 3, 971, 2913
Factors of 2921
List of positive integer factors of 2921 that divides 2921 without a remainder.
1, 23, 127, 2921
Least Common Multiple of 2913 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 2913 and 2921, than apply into the LCM equation.
GCF(2913,2921) = 1
LCM(2913,2921) = ( 2913 × 2921) / 1
LCM(2913,2921) = 8508873 / 1
LCM(2913,2921) = 8508873
Properties of LCM 2913 and 2921
(i) The LCM of 2921 and 2913 is associative
LCM of 2913 and 2921 = LCM of 2921 and 2913
Related Least Common Multiples of 2913
Related Least Common Multiples of 2921
Frequently Asked Questions on LCM of 2913 and 2921
1. What is the LCM of 2913 and 2921?
Answer: LCM of 2913 and 2921 is 8508873.
2. What are the Factors of 2913?
Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.
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 2913 and 2921?
Answer:
Least Common Multiple of 2913 and 2921 = 8508873
Step 1: Find the prime factorization of 2913
2913 = 3 x 971
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 = 8508873 = 3 x 23 x 127 x 971
Step 4: Therefore, the least common multiple of 2913 and 2921 is 8508873.