Least Common Multiple of 7465 and 7469
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7465 and 7469 the smallest integer that is 55756085 that is divisible by both numbers.
Least Common Multiple (LCM) of 7465 and 7469 is 55756085.
LCM(7465,7469) = 55756085
LCM of 7465 and 7469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7465 and 7469 by Prime method
- Least Common Multiple of 7465 and 7469 with GCF Formula
LCM of 7465 and 7469 is 55756085
Least common multiple can be found by multiplying the highest exponent prime factors of 7465 and 7469. First we will calculate the prime factors of 7465 and 7469.
Prime Factorization of 7465
| 5 | 7465 |
| 1493 | 1493 |
| 1 |
Prime factors of 7465 are 5,1493. Prime factorization of 7465 in exponential form is:
7465 = 51×14931
Prime Factorization of 7469
| 7 | 7469 |
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 7469 are 7, 11,97. Prime factorization of 7469 in exponential form is:
7469 = 71×111×971
Now multiplying the highest exponent prime factors to calculate the LCM of 7465 and 7469.
LCM(7465,7469) = 51×71×111×971×14931
LCM(7465,7469) = 55756085
Factors of 7465
List of positive integer factors of 7465 that divides 7465 without a remainder.
1, 5, 1493, 7465
Factors of 7469
List of positive integer factors of 7469 that divides 7469 without a remainder.
1, 7, 11, 77, 97, 679, 1067, 7469
Least Common Multiple of 7465 and 7469 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7465 and 7469, than apply into the LCM equation.
GCF(7465,7469) = 1
LCM(7465,7469) = ( 7465 × 7469) / 1
LCM(7465,7469) = 55756085 / 1
LCM(7465,7469) = 55756085
Properties of LCM 7465 and 7469
(i) The LCM of 7469 and 7465 is associative
LCM of 7465 and 7469 = LCM of 7469 and 7465
Related Least Common Multiples of 7465
Related Least Common Multiples of 7469
Frequently Asked Questions on LCM of 7465 and 7469
1. What is the LCM of 7465 and 7469?
Answer: LCM of 7465 and 7469 is 55756085.
2. What are the Factors of 7465?
Answer: Factors of 7465 are 1, 5, 1493, 7465. There are 4 integers that are factors of 7465. The greatest factor of 7465 is 7465.
3. What are the Factors of 7469?
Answer: Factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469. There are 8 integers that are factors of 7469. The greatest factor of 7469 is 7469.
4. How to Find the LCM of 7465 and 7469?
Answer:
Least Common Multiple of 7465 and 7469 = 55756085
Step 1: Find the prime factorization of 7465
7465 = 5 x 1493
Step 2: Find the prime factorization of 7469
7469 = 7 x 11 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55756085 = 5 x 7 x 11 x 97 x 1493
Step 4: Therefore, the least common multiple of 7465 and 7469 is 55756085.