Least Common Multiple of 88506 and 88513
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 88506 and 88513 the smallest integer that is 7833931578 that is divisible by both numbers.
Least Common Multiple (LCM) of 88506 and 88513 is 7833931578.
LCM(88506,88513) = 7833931578
LCM of 88506 and 88513
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 88506 and 88513 by Prime method
- Least Common Multiple of 88506 and 88513 with GCF Formula
LCM of 88506 and 88513 is 7833931578
Least common multiple can be found by multiplying the highest exponent prime factors of 88506 and 88513. First we will calculate the prime factors of 88506 and 88513.
Prime Factorization of 88506
| 2 | 88506 |
| 3 | 44253 |
| 3 | 14751 |
| 3 | 4917 |
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 88506 are 2, 3, 11,149. Prime factorization of 88506 in exponential form is:
88506 = 21×33×111×1491
Prime Factorization of 88513
| 88513 | 88513 |
| 1 |
Prime factors of 88513 are 88513. Prime factorization of 88513 in exponential form is:
88513 = 885131
Now multiplying the highest exponent prime factors to calculate the LCM of 88506 and 88513.
LCM(88506,88513) = 21×33×111×1491×885131
LCM(88506,88513) = 7833931578
Factors of 88506
List of positive integer factors of 88506 that divides 88506 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 149, 198, 297, 298, 447, 594, 894, 1341, 1639, 2682, 3278, 4023, 4917, 8046, 9834, 14751, 29502, 44253, 88506
Factors of 88513
List of positive integer factors of 88513 that divides 88513 without a remainder.
1, 88513
Least Common Multiple of 88506 and 88513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88506 and 88513, than apply into the LCM equation.
GCF(88506,88513) = 1
LCM(88506,88513) = ( 88506 × 88513) / 1
LCM(88506,88513) = 7833931578 / 1
LCM(88506,88513) = 7833931578
Properties of LCM 88506 and 88513
(i) The LCM of 88513 and 88506 is associative
LCM of 88506 and 88513 = LCM of 88513 and 88506
Related Least Common Multiples of 88506
Related Least Common Multiples of 88513
Frequently Asked Questions on LCM of 88506 and 88513
1. What is the LCM of 88506 and 88513?
Answer: LCM of 88506 and 88513 is 7833931578.
2. What are the Factors of 88506?
Answer: Factors of 88506 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 149, 198, 297, 298, 447, 594, 894, 1341, 1639, 2682, 3278, 4023, 4917, 8046, 9834, 14751, 29502, 44253, 88506. There are 32 integers that are factors of 88506. The greatest factor of 88506 is 88506.
3. What are the Factors of 88513?
Answer: Factors of 88513 are 1, 88513. There are 2 integers that are factors of 88513. The greatest factor of 88513 is 88513.
4. How to Find the LCM of 88506 and 88513?
Answer:
Least Common Multiple of 88506 and 88513 = 7833931578
Step 1: Find the prime factorization of 88506
88506 = 2 x 3 x 3 x 3 x 11 x 149
Step 2: Find the prime factorization of 88513
88513 = 88513
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7833931578 = 2 x 3 x 3 x 3 x 11 x 149 x 88513
Step 4: Therefore, the least common multiple of 88506 and 88513 is 7833931578.