Least Common Multiple of 87737 and 87743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 87737 and 87743 the smallest integer that is 7698307591 that is divisible by both numbers.
Least Common Multiple (LCM) of 87737 and 87743 is 7698307591.
LCM(87737,87743) = 7698307591
LCM of 87737 and 87743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 87737 and 87743 by Prime method
- Least Common Multiple of 87737 and 87743 with GCF Formula
LCM of 87737 and 87743 is 7698307591
Least common multiple can be found by multiplying the highest exponent prime factors of 87737 and 87743. First we will calculate the prime factors of 87737 and 87743.
Prime Factorization of 87737
| 13 | 87737 |
| 17 | 6749 |
| 397 | 397 |
| 1 |
Prime factors of 87737 are 13, 17,397. Prime factorization of 87737 in exponential form is:
87737 = 131×171×3971
Prime Factorization of 87743
| 87743 | 87743 |
| 1 |
Prime factors of 87743 are 87743. Prime factorization of 87743 in exponential form is:
87743 = 877431
Now multiplying the highest exponent prime factors to calculate the LCM of 87737 and 87743.
LCM(87737,87743) = 131×171×3971×877431
LCM(87737,87743) = 7698307591
Factors of 87737
List of positive integer factors of 87737 that divides 87737 without a remainder.
1, 13, 17, 221, 397, 5161, 6749, 87737
Factors of 87743
List of positive integer factors of 87743 that divides 87743 without a remainder.
1, 87743
Least Common Multiple of 87737 and 87743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87737 and 87743, than apply into the LCM equation.
GCF(87737,87743) = 1
LCM(87737,87743) = ( 87737 × 87743) / 1
LCM(87737,87743) = 7698307591 / 1
LCM(87737,87743) = 7698307591
Properties of LCM 87737 and 87743
(i) The LCM of 87743 and 87737 is associative
LCM of 87737 and 87743 = LCM of 87743 and 87737
Related Least Common Multiples of 87737
Related Least Common Multiples of 87743
Frequently Asked Questions on LCM of 87737 and 87743
1. What is the LCM of 87737 and 87743?
Answer: LCM of 87737 and 87743 is 7698307591.
2. What are the Factors of 87737?
Answer: Factors of 87737 are 1, 13, 17, 221, 397, 5161, 6749, 87737. There are 8 integers that are factors of 87737. The greatest factor of 87737 is 87737.
3. What are the Factors of 87743?
Answer: Factors of 87743 are 1, 87743. There are 2 integers that are factors of 87743. The greatest factor of 87743 is 87743.
4. How to Find the LCM of 87737 and 87743?
Answer:
Least Common Multiple of 87737 and 87743 = 7698307591
Step 1: Find the prime factorization of 87737
87737 = 13 x 17 x 397
Step 2: Find the prime factorization of 87743
87743 = 87743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7698307591 = 13 x 17 x 397 x 87743
Step 4: Therefore, the least common multiple of 87737 and 87743 is 7698307591.