Least Common Multiple of 20407 and 20413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 20407 and 20413 the smallest integer that is 416568091 that is divisible by both numbers.
Least Common Multiple (LCM) of 20407 and 20413 is 416568091.
LCM(20407,20413) = 416568091
LCM of 20407 and 20413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 20407 and 20413 by Prime method
- Least Common Multiple of 20407 and 20413 with GCF Formula
LCM of 20407 and 20413 is 416568091
Least common multiple can be found by multiplying the highest exponent prime factors of 20407 and 20413. First we will calculate the prime factors of 20407 and 20413.
Prime Factorization of 20407
| 20407 | 20407 |
| 1 |
Prime factors of 20407 are 20407. Prime factorization of 20407 in exponential form is:
20407 = 204071
Prime Factorization of 20413
| 137 | 20413 |
| 149 | 149 |
| 1 |
Prime factors of 20413 are 137,149. Prime factorization of 20413 in exponential form is:
20413 = 1371×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 20407 and 20413.
LCM(20407,20413) = 1371×1491×204071
LCM(20407,20413) = 416568091
Factors of 20407
List of positive integer factors of 20407 that divides 20407 without a remainder.
1, 20407
Factors of 20413
List of positive integer factors of 20413 that divides 20413 without a remainder.
1, 137, 149, 20413
Least Common Multiple of 20407 and 20413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20407 and 20413, than apply into the LCM equation.
GCF(20407,20413) = 1
LCM(20407,20413) = ( 20407 × 20413) / 1
LCM(20407,20413) = 416568091 / 1
LCM(20407,20413) = 416568091
Properties of LCM 20407 and 20413
(i) The LCM of 20413 and 20407 is associative
LCM of 20407 and 20413 = LCM of 20413 and 20407
Related Least Common Multiples of 20407
Related Least Common Multiples of 20413
Frequently Asked Questions on LCM of 20407 and 20413
1. What is the LCM of 20407 and 20413?
Answer: LCM of 20407 and 20413 is 416568091.
2. What are the Factors of 20407?
Answer: Factors of 20407 are 1, 20407. There are 2 integers that are factors of 20407. The greatest factor of 20407 is 20407.
3. What are the Factors of 20413?
Answer: Factors of 20413 are 1, 137, 149, 20413. There are 4 integers that are factors of 20413. The greatest factor of 20413 is 20413.
4. How to Find the LCM of 20407 and 20413?
Answer:
Least Common Multiple of 20407 and 20413 = 416568091
Step 1: Find the prime factorization of 20407
20407 = 20407
Step 2: Find the prime factorization of 20413
20413 = 137 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 416568091 = 137 x 149 x 20407
Step 4: Therefore, the least common multiple of 20407 and 20413 is 416568091.