Least Common Multiple of 7462 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 7462 and 7469 the smallest integer that is 7961954 that is divisible by both numbers.
Least Common Multiple (LCM) of 7462 and 7469 is 7961954.
LCM(7462,7469) = 7961954
LCM of 7462 and 7469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7462 and 7469 by Prime method
- Least Common Multiple of 7462 and 7469 with GCF Formula
LCM of 7462 and 7469 is 7961954
Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7469. First we will calculate the prime factors of 7462 and 7469.
Prime Factorization of 7462
| 2 | 7462 |
| 7 | 3731 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 7462 are 2, 7, 13,41. Prime factorization of 7462 in exponential form is:
7462 = 21×71×131×411
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 7462 and 7469.
LCM(7462,7469) = 21×71×111×131×411×971
LCM(7462,7469) = 7961954
Factors of 7462
List of positive integer factors of 7462 that divides 7462 without a remainder.
1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
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 7462 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 7462 and 7469, than apply into the LCM equation.
GCF(7462,7469) = 7
LCM(7462,7469) = ( 7462 × 7469) / 7
LCM(7462,7469) = 55733678 / 7
LCM(7462,7469) = 7961954
Properties of LCM 7462 and 7469
(i) The LCM of 7469 and 7462 is associative
LCM of 7462 and 7469 = LCM of 7469 and 7462
Related Least Common Multiples of 7462
Related Least Common Multiples of 7469
Frequently Asked Questions on LCM of 7462 and 7469
1. What is the LCM of 7462 and 7469?
Answer: LCM of 7462 and 7469 is 7961954.
2. What are the Factors of 7462?
Answer: Factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462. There are 16 integers that are factors of 7462. The greatest factor of 7462 is 7462.
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 7462 and 7469?
Answer:
Least Common Multiple of 7462 and 7469 = 7961954
Step 1: Find the prime factorization of 7462
7462 = 2 x 7 x 13 x 41
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 = 7961954 = 2 x 7 x 11 x 13 x 41 x 97
Step 4: Therefore, the least common multiple of 7462 and 7469 is 7961954.