Least Common Multiple of 88499 and 88505
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 88505 the smallest integer that is 7832603995 that is divisible by both numbers.
Least Common Multiple (LCM) of 88499 and 88505 is 7832603995.
LCM(88499,88505) = 7832603995
LCM of 88499 and 88505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 88499 and 88505 by Prime method
- Least Common Multiple of 88499 and 88505 with GCF Formula
LCM of 88499 and 88505 is 7832603995
Least common multiple can be found by multiplying the highest exponent prime factors of 88499 and 88505. First we will calculate the prime factors of 88499 and 88505.
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 88505
| 5 | 88505 |
| 31 | 17701 |
| 571 | 571 |
| 1 |
Prime factors of 88505 are 5, 31,571. Prime factorization of 88505 in exponential form is:
88505 = 51×311×5711
Now multiplying the highest exponent prime factors to calculate the LCM of 88499 and 88505.
LCM(88499,88505) = 51×311×5711×884991
LCM(88499,88505) = 7832603995
Factors of 88499
List of positive integer factors of 88499 that divides 88499 without a remainder.
1, 88499
Factors of 88505
List of positive integer factors of 88505 that divides 88505 without a remainder.
1, 5, 31, 155, 571, 2855, 17701, 88505
Least Common Multiple of 88499 and 88505 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 88505, than apply into the LCM equation.
GCF(88499,88505) = 1
LCM(88499,88505) = ( 88499 × 88505) / 1
LCM(88499,88505) = 7832603995 / 1
LCM(88499,88505) = 7832603995
Properties of LCM 88499 and 88505
(i) The LCM of 88505 and 88499 is associative
LCM of 88499 and 88505 = LCM of 88505 and 88499
Related Least Common Multiples of 88499
Related Least Common Multiples of 88505
Frequently Asked Questions on LCM of 88499 and 88505
1. What is the LCM of 88499 and 88505?
Answer: LCM of 88499 and 88505 is 7832603995.
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 88505?
Answer: Factors of 88505 are 1, 5, 31, 155, 571, 2855, 17701, 88505. There are 8 integers that are factors of 88505. The greatest factor of 88505 is 88505.
4. How to Find the LCM of 88499 and 88505?
Answer:
Least Common Multiple of 88499 and 88505 = 7832603995
Step 1: Find the prime factorization of 88499
88499 = 88499
Step 2: Find the prime factorization of 88505
88505 = 5 x 31 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7832603995 = 5 x 31 x 571 x 88499
Step 4: Therefore, the least common multiple of 88499 and 88505 is 7832603995.