Least Common Multiple of 26621 and 26629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26621 and 26629 the smallest integer that is 708890609 that is divisible by both numbers.
Least Common Multiple (LCM) of 26621 and 26629 is 708890609.
LCM(26621,26629) = 708890609
LCM of 26621 and 26629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26621 and 26629 by Prime method
- Least Common Multiple of 26621 and 26629 with GCF Formula
LCM of 26621 and 26629 is 708890609
Least common multiple can be found by multiplying the highest exponent prime factors of 26621 and 26629. First we will calculate the prime factors of 26621 and 26629.
Prime Factorization of 26621
| 7 | 26621 |
| 3803 | 3803 |
| 1 |
Prime factors of 26621 are 7,3803. Prime factorization of 26621 in exponential form is:
26621 = 71×38031
Prime Factorization of 26629
| 31 | 26629 |
| 859 | 859 |
| 1 |
Prime factors of 26629 are 31,859. Prime factorization of 26629 in exponential form is:
26629 = 311×8591
Now multiplying the highest exponent prime factors to calculate the LCM of 26621 and 26629.
LCM(26621,26629) = 71×311×8591×38031
LCM(26621,26629) = 708890609
Factors of 26621
List of positive integer factors of 26621 that divides 26621 without a remainder.
1, 7, 3803, 26621
Factors of 26629
List of positive integer factors of 26629 that divides 26629 without a remainder.
1, 31, 859, 26629
Least Common Multiple of 26621 and 26629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26621 and 26629, than apply into the LCM equation.
GCF(26621,26629) = 1
LCM(26621,26629) = ( 26621 × 26629) / 1
LCM(26621,26629) = 708890609 / 1
LCM(26621,26629) = 708890609
Properties of LCM 26621 and 26629
(i) The LCM of 26629 and 26621 is associative
LCM of 26621 and 26629 = LCM of 26629 and 26621
Related Least Common Multiples of 26621
Related Least Common Multiples of 26629
Frequently Asked Questions on LCM of 26621 and 26629
1. What is the LCM of 26621 and 26629?
Answer: LCM of 26621 and 26629 is 708890609.
2. What are the Factors of 26621?
Answer: Factors of 26621 are 1, 7, 3803, 26621. There are 4 integers that are factors of 26621. The greatest factor of 26621 is 26621.
3. What are the Factors of 26629?
Answer: Factors of 26629 are 1, 31, 859, 26629. There are 4 integers that are factors of 26629. The greatest factor of 26629 is 26629.
4. How to Find the LCM of 26621 and 26629?
Answer:
Least Common Multiple of 26621 and 26629 = 708890609
Step 1: Find the prime factorization of 26621
26621 = 7 x 3803
Step 2: Find the prime factorization of 26629
26629 = 31 x 859
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 708890609 = 7 x 31 x 859 x 3803
Step 4: Therefore, the least common multiple of 26621 and 26629 is 708890609.