Least Common Multiple of 88287 and 88293
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 88287 and 88293 the smallest integer that is 2598374697 that is divisible by both numbers.
Least Common Multiple (LCM) of 88287 and 88293 is 2598374697.
LCM(88287,88293) = 2598374697
LCM of 88287 and 88293
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 88287 and 88293 by Prime method
- Least Common Multiple of 88287 and 88293 with GCF Formula
LCM of 88287 and 88293 is 2598374697
Least common multiple can be found by multiplying the highest exponent prime factors of 88287 and 88293. First we will calculate the prime factors of 88287 and 88293.
Prime Factorization of 88287
| 3 | 88287 |
| 29429 | 29429 |
| 1 |
Prime factors of 88287 are 3,29429. Prime factorization of 88287 in exponential form is:
88287 = 31×294291
Prime Factorization of 88293
| 3 | 88293 |
| 19 | 29431 |
| 1549 | 1549 |
| 1 |
Prime factors of 88293 are 3, 19,1549. Prime factorization of 88293 in exponential form is:
88293 = 31×191×15491
Now multiplying the highest exponent prime factors to calculate the LCM of 88287 and 88293.
LCM(88287,88293) = 31×191×15491×294291
LCM(88287,88293) = 2598374697
Factors of 88287
List of positive integer factors of 88287 that divides 88287 without a remainder.
1, 3, 29429, 88287
Factors of 88293
List of positive integer factors of 88293 that divides 88293 without a remainder.
1, 3, 19, 57, 1549, 4647, 29431, 88293
Least Common Multiple of 88287 and 88293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88287 and 88293, than apply into the LCM equation.
GCF(88287,88293) = 3
LCM(88287,88293) = ( 88287 × 88293) / 3
LCM(88287,88293) = 7795124091 / 3
LCM(88287,88293) = 2598374697
Properties of LCM 88287 and 88293
(i) The LCM of 88293 and 88287 is associative
LCM of 88287 and 88293 = LCM of 88293 and 88287
Related Least Common Multiples of 88287
Related Least Common Multiples of 88293
Frequently Asked Questions on LCM of 88287 and 88293
1. What is the LCM of 88287 and 88293?
Answer: LCM of 88287 and 88293 is 2598374697.
2. What are the Factors of 88287?
Answer: Factors of 88287 are 1, 3, 29429, 88287. There are 4 integers that are factors of 88287. The greatest factor of 88287 is 88287.
3. What are the Factors of 88293?
Answer: Factors of 88293 are 1, 3, 19, 57, 1549, 4647, 29431, 88293. There are 8 integers that are factors of 88293. The greatest factor of 88293 is 88293.
4. How to Find the LCM of 88287 and 88293?
Answer:
Least Common Multiple of 88287 and 88293 = 2598374697
Step 1: Find the prime factorization of 88287
88287 = 3 x 29429
Step 2: Find the prime factorization of 88293
88293 = 3 x 19 x 1549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2598374697 = 3 x 19 x 1549 x 29429
Step 4: Therefore, the least common multiple of 88287 and 88293 is 2598374697.