Least Common Multiple of 87727 and 87729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 87727 and 87729 the smallest integer that is 7696201983 that is divisible by both numbers.
Least Common Multiple (LCM) of 87727 and 87729 is 7696201983.
LCM(87727,87729) = 7696201983
LCM of 87727 and 87729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 87727 and 87729 by Prime method
- Least Common Multiple of 87727 and 87729 with GCF Formula
LCM of 87727 and 87729 is 7696201983
Least common multiple can be found by multiplying the highest exponent prime factors of 87727 and 87729. First we will calculate the prime factors of 87727 and 87729.
Prime Factorization of 87727
| 37 | 87727 |
| 2371 | 2371 |
| 1 |
Prime factors of 87727 are 37,2371. Prime factorization of 87727 in exponential form is:
87727 = 371×23711
Prime Factorization of 87729
| 3 | 87729 |
| 29243 | 29243 |
| 1 |
Prime factors of 87729 are 3,29243. Prime factorization of 87729 in exponential form is:
87729 = 31×292431
Now multiplying the highest exponent prime factors to calculate the LCM of 87727 and 87729.
LCM(87727,87729) = 31×371×23711×292431
LCM(87727,87729) = 7696201983
Factors of 87727
List of positive integer factors of 87727 that divides 87727 without a remainder.
1, 37, 2371, 87727
Factors of 87729
List of positive integer factors of 87729 that divides 87729 without a remainder.
1, 3, 29243, 87729
Least Common Multiple of 87727 and 87729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87727 and 87729, than apply into the LCM equation.
GCF(87727,87729) = 1
LCM(87727,87729) = ( 87727 × 87729) / 1
LCM(87727,87729) = 7696201983 / 1
LCM(87727,87729) = 7696201983
Properties of LCM 87727 and 87729
(i) The LCM of 87729 and 87727 is associative
LCM of 87727 and 87729 = LCM of 87729 and 87727
Related Least Common Multiples of 87727
Related Least Common Multiples of 87729
Frequently Asked Questions on LCM of 87727 and 87729
1. What is the LCM of 87727 and 87729?
Answer: LCM of 87727 and 87729 is 7696201983.
2. What are the Factors of 87727?
Answer: Factors of 87727 are 1, 37, 2371, 87727. There are 4 integers that are factors of 87727. The greatest factor of 87727 is 87727.
3. What are the Factors of 87729?
Answer: Factors of 87729 are 1, 3, 29243, 87729. There are 4 integers that are factors of 87729. The greatest factor of 87729 is 87729.
4. How to Find the LCM of 87727 and 87729?
Answer:
Least Common Multiple of 87727 and 87729 = 7696201983
Step 1: Find the prime factorization of 87727
87727 = 37 x 2371
Step 2: Find the prime factorization of 87729
87729 = 3 x 29243
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7696201983 = 3 x 37 x 2371 x 29243
Step 4: Therefore, the least common multiple of 87727 and 87729 is 7696201983.