Least Common Multiple of 21461 and 21466
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21461 and 21466 the smallest integer that is 460681826 that is divisible by both numbers.
Least Common Multiple (LCM) of 21461 and 21466 is 460681826.
LCM(21461,21466) = 460681826
LCM of 21461 and 21466
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21461 and 21466 by Prime method
- Least Common Multiple of 21461 and 21466 with GCF Formula
LCM of 21461 and 21466 is 460681826
Least common multiple can be found by multiplying the highest exponent prime factors of 21461 and 21466. First we will calculate the prime factors of 21461 and 21466.
Prime Factorization of 21461
| 11 | 21461 |
| 1951 | 1951 |
| 1 |
Prime factors of 21461 are 11,1951. Prime factorization of 21461 in exponential form is:
21461 = 111×19511
Prime Factorization of 21466
| 2 | 21466 |
| 10733 | 10733 |
| 1 |
Prime factors of 21466 are 2,10733. Prime factorization of 21466 in exponential form is:
21466 = 21×107331
Now multiplying the highest exponent prime factors to calculate the LCM of 21461 and 21466.
LCM(21461,21466) = 21×111×19511×107331
LCM(21461,21466) = 460681826
Factors of 21461
List of positive integer factors of 21461 that divides 21461 without a remainder.
1, 11, 1951, 21461
Factors of 21466
List of positive integer factors of 21466 that divides 21466 without a remainder.
1, 2, 10733, 21466
Least Common Multiple of 21461 and 21466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21461 and 21466, than apply into the LCM equation.
GCF(21461,21466) = 1
LCM(21461,21466) = ( 21461 × 21466) / 1
LCM(21461,21466) = 460681826 / 1
LCM(21461,21466) = 460681826
Properties of LCM 21461 and 21466
(i) The LCM of 21466 and 21461 is associative
LCM of 21461 and 21466 = LCM of 21466 and 21461
Related Least Common Multiples of 21461
Related Least Common Multiples of 21466
Frequently Asked Questions on LCM of 21461 and 21466
1. What is the LCM of 21461 and 21466?
Answer: LCM of 21461 and 21466 is 460681826.
2. What are the Factors of 21461?
Answer: Factors of 21461 are 1, 11, 1951, 21461. There are 4 integers that are factors of 21461. The greatest factor of 21461 is 21461.
3. What are the Factors of 21466?
Answer: Factors of 21466 are 1, 2, 10733, 21466. There are 4 integers that are factors of 21466. The greatest factor of 21466 is 21466.
4. How to Find the LCM of 21461 and 21466?
Answer:
Least Common Multiple of 21461 and 21466 = 460681826
Step 1: Find the prime factorization of 21461
21461 = 11 x 1951
Step 2: Find the prime factorization of 21466
21466 = 2 x 10733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 460681826 = 2 x 11 x 1951 x 10733
Step 4: Therefore, the least common multiple of 21461 and 21466 is 460681826.