Least Common Multiple of 7562 and 7569
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7562 and 7569 the smallest integer that is 57236778 that is divisible by both numbers.
Least Common Multiple (LCM) of 7562 and 7569 is 57236778.
LCM(7562,7569) = 57236778
LCM of 7562 and 7569
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7562 and 7569 by Prime method
- Least Common Multiple of 7562 and 7569 with GCF Formula
LCM of 7562 and 7569 is 57236778
Least common multiple can be found by multiplying the highest exponent prime factors of 7562 and 7569. First we will calculate the prime factors of 7562 and 7569.
Prime Factorization of 7562
| 2 | 7562 |
| 19 | 3781 |
| 199 | 199 |
| 1 |
Prime factors of 7562 are 2, 19,199. Prime factorization of 7562 in exponential form is:
7562 = 21×191×1991
Prime Factorization of 7569
| 3 | 7569 |
| 3 | 2523 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 7569 are 3,29. Prime factorization of 7569 in exponential form is:
7569 = 32×292
Now multiplying the highest exponent prime factors to calculate the LCM of 7562 and 7569.
LCM(7562,7569) = 21×32×191×292×1991
LCM(7562,7569) = 57236778
Factors of 7562
List of positive integer factors of 7562 that divides 7562 without a remainder.
1, 2, 19, 38, 199, 398, 3781, 7562
Factors of 7569
List of positive integer factors of 7569 that divides 7569 without a remainder.
1, 3, 9, 29, 87, 261, 841, 2523, 7569
Least Common Multiple of 7562 and 7569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7562 and 7569, than apply into the LCM equation.
GCF(7562,7569) = 1
LCM(7562,7569) = ( 7562 × 7569) / 1
LCM(7562,7569) = 57236778 / 1
LCM(7562,7569) = 57236778
Properties of LCM 7562 and 7569
(i) The LCM of 7569 and 7562 is associative
LCM of 7562 and 7569 = LCM of 7569 and 7562
Related Least Common Multiples of 7562
Related Least Common Multiples of 7569
Frequently Asked Questions on LCM of 7562 and 7569
1. What is the LCM of 7562 and 7569?
Answer: LCM of 7562 and 7569 is 57236778.
2. What are the Factors of 7562?
Answer: Factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562. There are 8 integers that are factors of 7562. The greatest factor of 7562 is 7562.
3. What are the Factors of 7569?
Answer: Factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569. There are 9 integers that are factors of 7569. The greatest factor of 7569 is 7569.
4. How to Find the LCM of 7562 and 7569?
Answer:
Least Common Multiple of 7562 and 7569 = 57236778
Step 1: Find the prime factorization of 7562
7562 = 2 x 19 x 199
Step 2: Find the prime factorization of 7569
7569 = 3 x 3 x 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57236778 = 2 x 3 x 3 x 19 x 29 x 29 x 199
Step 4: Therefore, the least common multiple of 7562 and 7569 is 57236778.