Least Common Multiple of 89135 and 89143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 89135 and 89143 the smallest integer that is 7945761305 that is divisible by both numbers.
Least Common Multiple (LCM) of 89135 and 89143 is 7945761305.
LCM(89135,89143) = 7945761305
LCM of 89135 and 89143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 89135 and 89143 by Prime method
- Least Common Multiple of 89135 and 89143 with GCF Formula
LCM of 89135 and 89143 is 7945761305
Least common multiple can be found by multiplying the highest exponent prime factors of 89135 and 89143. First we will calculate the prime factors of 89135 and 89143.
Prime Factorization of 89135
| 5 | 89135 |
| 17827 | 17827 |
| 1 |
Prime factors of 89135 are 5,17827. Prime factorization of 89135 in exponential form is:
89135 = 51×178271
Prime Factorization of 89143
| 97 | 89143 |
| 919 | 919 |
| 1 |
Prime factors of 89143 are 97,919. Prime factorization of 89143 in exponential form is:
89143 = 971×9191
Now multiplying the highest exponent prime factors to calculate the LCM of 89135 and 89143.
LCM(89135,89143) = 51×971×9191×178271
LCM(89135,89143) = 7945761305
Factors of 89135
List of positive integer factors of 89135 that divides 89135 without a remainder.
1, 5, 17827, 89135
Factors of 89143
List of positive integer factors of 89143 that divides 89143 without a remainder.
1, 97, 919, 89143
Least Common Multiple of 89135 and 89143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89135 and 89143, than apply into the LCM equation.
GCF(89135,89143) = 1
LCM(89135,89143) = ( 89135 × 89143) / 1
LCM(89135,89143) = 7945761305 / 1
LCM(89135,89143) = 7945761305
Properties of LCM 89135 and 89143
(i) The LCM of 89143 and 89135 is associative
LCM of 89135 and 89143 = LCM of 89143 and 89135
Related Least Common Multiples of 89135
Related Least Common Multiples of 89143
Frequently Asked Questions on LCM of 89135 and 89143
1. What is the LCM of 89135 and 89143?
Answer: LCM of 89135 and 89143 is 7945761305.
2. What are the Factors of 89135?
Answer: Factors of 89135 are 1, 5, 17827, 89135. There are 4 integers that are factors of 89135. The greatest factor of 89135 is 89135.
3. What are the Factors of 89143?
Answer: Factors of 89143 are 1, 97, 919, 89143. There are 4 integers that are factors of 89143. The greatest factor of 89143 is 89143.
4. How to Find the LCM of 89135 and 89143?
Answer:
Least Common Multiple of 89135 and 89143 = 7945761305
Step 1: Find the prime factorization of 89135
89135 = 5 x 17827
Step 2: Find the prime factorization of 89143
89143 = 97 x 919
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7945761305 = 5 x 97 x 919 x 17827
Step 4: Therefore, the least common multiple of 89135 and 89143 is 7945761305.