Least Common Multiple of 88499 and 88506
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 88499 and 88506 the smallest integer that is 7832692494 that is divisible by both numbers.
Least Common Multiple (LCM) of 88499 and 88506 is 7832692494.
LCM(88499,88506) = 7832692494
LCM of 88499 and 88506
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 88499 and 88506 by Prime method
- Least Common Multiple of 88499 and 88506 with GCF Formula
LCM of 88499 and 88506 is 7832692494
Least common multiple can be found by multiplying the highest exponent prime factors of 88499 and 88506. First we will calculate the prime factors of 88499 and 88506.
Prime Factorization of 88499
| 88499 | 88499 |
| 1 |
Prime factors of 88499 are 88499. Prime factorization of 88499 in exponential form is:
88499 = 884991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 88499 and 88506.
LCM(88499,88506) = 21×33×111×1491×884991
LCM(88499,88506) = 7832692494
Factors of 88499
List of positive integer factors of 88499 that divides 88499 without a remainder.
1, 88499
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
Least Common Multiple of 88499 and 88506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88499 and 88506, than apply into the LCM equation.
GCF(88499,88506) = 1
LCM(88499,88506) = ( 88499 × 88506) / 1
LCM(88499,88506) = 7832692494 / 1
LCM(88499,88506) = 7832692494
Properties of LCM 88499 and 88506
(i) The LCM of 88506 and 88499 is associative
LCM of 88499 and 88506 = LCM of 88506 and 88499
Related Least Common Multiples of 88499
Related Least Common Multiples of 88506
Frequently Asked Questions on LCM of 88499 and 88506
1. What is the LCM of 88499 and 88506?
Answer: LCM of 88499 and 88506 is 7832692494.
2. What are the Factors of 88499?
Answer: Factors of 88499 are 1, 88499. There are 2 integers that are factors of 88499. The greatest factor of 88499 is 88499.
3. 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.
4. How to Find the LCM of 88499 and 88506?
Answer:
Least Common Multiple of 88499 and 88506 = 7832692494
Step 1: Find the prime factorization of 88499
88499 = 88499
Step 2: Find the prime factorization of 88506
88506 = 2 x 3 x 3 x 3 x 11 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7832692494 = 2 x 3 x 3 x 3 x 11 x 149 x 88499
Step 4: Therefore, the least common multiple of 88499 and 88506 is 7832692494.