Least Common Multiple of 2623 and 2629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2623 and 2629 the smallest integer that is 6895867 that is divisible by both numbers.
Least Common Multiple (LCM) of 2623 and 2629 is 6895867.
LCM(2623,2629) = 6895867
LCM of 2623 and 2629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2623 and 2629 by Prime method
- Least Common Multiple of 2623 and 2629 with GCF Formula
LCM of 2623 and 2629 is 6895867
Least common multiple can be found by multiplying the highest exponent prime factors of 2623 and 2629. First we will calculate the prime factors of 2623 and 2629.
Prime Factorization of 2623
| 43 | 2623 |
| 61 | 61 |
| 1 |
Prime factors of 2623 are 43,61. Prime factorization of 2623 in exponential form is:
2623 = 431×611
Prime Factorization of 2629
| 11 | 2629 |
| 239 | 239 |
| 1 |
Prime factors of 2629 are 11,239. Prime factorization of 2629 in exponential form is:
2629 = 111×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 2623 and 2629.
LCM(2623,2629) = 111×431×611×2391
LCM(2623,2629) = 6895867
Factors of 2623
List of positive integer factors of 2623 that divides 2623 without a remainder.
1, 43, 61, 2623
Factors of 2629
List of positive integer factors of 2629 that divides 2629 without a remainder.
1, 11, 239, 2629
Least Common Multiple of 2623 and 2629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2623 and 2629, than apply into the LCM equation.
GCF(2623,2629) = 1
LCM(2623,2629) = ( 2623 × 2629) / 1
LCM(2623,2629) = 6895867 / 1
LCM(2623,2629) = 6895867
Properties of LCM 2623 and 2629
(i) The LCM of 2629 and 2623 is associative
LCM of 2623 and 2629 = LCM of 2629 and 2623
Related Least Common Multiples of 2623
Related Least Common Multiples of 2629
Frequently Asked Questions on LCM of 2623 and 2629
1. What is the LCM of 2623 and 2629?
Answer: LCM of 2623 and 2629 is 6895867.
2. What are the Factors of 2623?
Answer: Factors of 2623 are 1, 43, 61, 2623. There are 4 integers that are factors of 2623. The greatest factor of 2623 is 2623.
3. What are the Factors of 2629?
Answer: Factors of 2629 are 1, 11, 239, 2629. There are 4 integers that are factors of 2629. The greatest factor of 2629 is 2629.
4. How to Find the LCM of 2623 and 2629?
Answer:
Least Common Multiple of 2623 and 2629 = 6895867
Step 1: Find the prime factorization of 2623
2623 = 43 x 61
Step 2: Find the prime factorization of 2629
2629 = 11 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6895867 = 11 x 43 x 61 x 239
Step 4: Therefore, the least common multiple of 2623 and 2629 is 6895867.