Least Common Multiple of 88498 and 88502
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 88498 and 88502 the smallest integer that is 3916124998 that is divisible by both numbers.
Least Common Multiple (LCM) of 88498 and 88502 is 3916124998.
LCM(88498,88502) = 3916124998
LCM of 88498 and 88502
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 88498 and 88502 by Prime method
- Least Common Multiple of 88498 and 88502 with GCF Formula
LCM of 88498 and 88502 is 3916124998
Least common multiple can be found by multiplying the highest exponent prime factors of 88498 and 88502. First we will calculate the prime factors of 88498 and 88502.
Prime Factorization of 88498
| 2 | 88498 |
| 44249 | 44249 |
| 1 |
Prime factors of 88498 are 2,44249. Prime factorization of 88498 in exponential form is:
88498 = 21×442491
Prime Factorization of 88502
| 2 | 88502 |
| 17 | 44251 |
| 19 | 2603 |
| 137 | 137 |
| 1 |
Prime factors of 88502 are 2, 17, 19,137. Prime factorization of 88502 in exponential form is:
88502 = 21×171×191×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 88498 and 88502.
LCM(88498,88502) = 21×171×191×1371×442491
LCM(88498,88502) = 3916124998
Factors of 88498
List of positive integer factors of 88498 that divides 88498 without a remainder.
1, 2, 44249, 88498
Factors of 88502
List of positive integer factors of 88502 that divides 88502 without a remainder.
1, 2, 17, 19, 34, 38, 137, 274, 323, 646, 2329, 2603, 4658, 5206, 44251, 88502
Least Common Multiple of 88498 and 88502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88498 and 88502, than apply into the LCM equation.
GCF(88498,88502) = 2
LCM(88498,88502) = ( 88498 × 88502) / 2
LCM(88498,88502) = 7832249996 / 2
LCM(88498,88502) = 3916124998
Properties of LCM 88498 and 88502
(i) The LCM of 88502 and 88498 is associative
LCM of 88498 and 88502 = LCM of 88502 and 88498
Related Least Common Multiples of 88498
Related Least Common Multiples of 88502
Frequently Asked Questions on LCM of 88498 and 88502
1. What is the LCM of 88498 and 88502?
Answer: LCM of 88498 and 88502 is 3916124998.
2. What are the Factors of 88498?
Answer: Factors of 88498 are 1, 2, 44249, 88498. There are 4 integers that are factors of 88498. The greatest factor of 88498 is 88498.
3. What are the Factors of 88502?
Answer: Factors of 88502 are 1, 2, 17, 19, 34, 38, 137, 274, 323, 646, 2329, 2603, 4658, 5206, 44251, 88502. There are 16 integers that are factors of 88502. The greatest factor of 88502 is 88502.
4. How to Find the LCM of 88498 and 88502?
Answer:
Least Common Multiple of 88498 and 88502 = 3916124998
Step 1: Find the prime factorization of 88498
88498 = 2 x 44249
Step 2: Find the prime factorization of 88502
88502 = 2 x 17 x 19 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3916124998 = 2 x 17 x 19 x 137 x 44249
Step 4: Therefore, the least common multiple of 88498 and 88502 is 3916124998.