Least Common Multiple of 7406 and 7413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7406 and 7413 the smallest integer that is 7842954 that is divisible by both numbers.
Least Common Multiple (LCM) of 7406 and 7413 is 7842954.
LCM(7406,7413) = 7842954
LCM of 7406 and 7413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7406 and 7413 by Prime method
- Least Common Multiple of 7406 and 7413 with GCF Formula
LCM of 7406 and 7413 is 7842954
Least common multiple can be found by multiplying the highest exponent prime factors of 7406 and 7413. First we will calculate the prime factors of 7406 and 7413.
Prime Factorization of 7406
| 2 | 7406 |
| 7 | 3703 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 7406 are 2, 7,23. Prime factorization of 7406 in exponential form is:
7406 = 21×71×232
Prime Factorization of 7413
| 3 | 7413 |
| 7 | 2471 |
| 353 | 353 |
| 1 |
Prime factors of 7413 are 3, 7,353. Prime factorization of 7413 in exponential form is:
7413 = 31×71×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 7406 and 7413.
LCM(7406,7413) = 21×31×71×232×3531
LCM(7406,7413) = 7842954
Factors of 7406
List of positive integer factors of 7406 that divides 7406 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
Factors of 7413
List of positive integer factors of 7413 that divides 7413 without a remainder.
1, 3, 7, 21, 353, 1059, 2471, 7413
Least Common Multiple of 7406 and 7413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7406 and 7413, than apply into the LCM equation.
GCF(7406,7413) = 7
LCM(7406,7413) = ( 7406 × 7413) / 7
LCM(7406,7413) = 54900678 / 7
LCM(7406,7413) = 7842954
Properties of LCM 7406 and 7413
(i) The LCM of 7413 and 7406 is associative
LCM of 7406 and 7413 = LCM of 7413 and 7406
Related Least Common Multiples of 7406
Related Least Common Multiples of 7413
Frequently Asked Questions on LCM of 7406 and 7413
1. What is the LCM of 7406 and 7413?
Answer: LCM of 7406 and 7413 is 7842954.
2. What are the Factors of 7406?
Answer: Factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. There are 12 integers that are factors of 7406. The greatest factor of 7406 is 7406.
3. What are the Factors of 7413?
Answer: Factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413. There are 8 integers that are factors of 7413. The greatest factor of 7413 is 7413.
4. How to Find the LCM of 7406 and 7413?
Answer:
Least Common Multiple of 7406 and 7413 = 7842954
Step 1: Find the prime factorization of 7406
7406 = 2 x 7 x 23 x 23
Step 2: Find the prime factorization of 7413
7413 = 3 x 7 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7842954 = 2 x 3 x 7 x 23 x 23 x 353
Step 4: Therefore, the least common multiple of 7406 and 7413 is 7842954.