Least Common Multiple of 75705 and 75711
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 75705 and 75711 the smallest integer that is 1910567085 that is divisible by both numbers.
Least Common Multiple (LCM) of 75705 and 75711 is 1910567085.
LCM(75705,75711) = 1910567085
LCM of 75705 and 75711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 75705 and 75711 by Prime method
- Least Common Multiple of 75705 and 75711 with GCF Formula
LCM of 75705 and 75711 is 1910567085
Least common multiple can be found by multiplying the highest exponent prime factors of 75705 and 75711. First we will calculate the prime factors of 75705 and 75711.
Prime Factorization of 75705
| 3 | 75705 |
| 5 | 25235 |
| 7 | 5047 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 75705 are 3, 5, 7,103. Prime factorization of 75705 in exponential form is:
75705 = 31×51×72×1031
Prime Factorization of 75711
| 3 | 75711 |
| 25237 | 25237 |
| 1 |
Prime factors of 75711 are 3,25237. Prime factorization of 75711 in exponential form is:
75711 = 31×252371
Now multiplying the highest exponent prime factors to calculate the LCM of 75705 and 75711.
LCM(75705,75711) = 31×51×72×1031×252371
LCM(75705,75711) = 1910567085
Factors of 75705
List of positive integer factors of 75705 that divides 75705 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 103, 105, 147, 245, 309, 515, 721, 735, 1545, 2163, 3605, 5047, 10815, 15141, 25235, 75705
Factors of 75711
List of positive integer factors of 75711 that divides 75711 without a remainder.
1, 3, 25237, 75711
Least Common Multiple of 75705 and 75711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75705 and 75711, than apply into the LCM equation.
GCF(75705,75711) = 3
LCM(75705,75711) = ( 75705 × 75711) / 3
LCM(75705,75711) = 5731701255 / 3
LCM(75705,75711) = 1910567085
Properties of LCM 75705 and 75711
(i) The LCM of 75711 and 75705 is associative
LCM of 75705 and 75711 = LCM of 75711 and 75705
Related Least Common Multiples of 75705
Related Least Common Multiples of 75711
Frequently Asked Questions on LCM of 75705 and 75711
1. What is the LCM of 75705 and 75711?
Answer: LCM of 75705 and 75711 is 1910567085.
2. What are the Factors of 75705?
Answer: Factors of 75705 are 1, 3, 5, 7, 15, 21, 35, 49, 103, 105, 147, 245, 309, 515, 721, 735, 1545, 2163, 3605, 5047, 10815, 15141, 25235, 75705. There are 24 integers that are factors of 75705. The greatest factor of 75705 is 75705.
3. What are the Factors of 75711?
Answer: Factors of 75711 are 1, 3, 25237, 75711. There are 4 integers that are factors of 75711. The greatest factor of 75711 is 75711.
4. How to Find the LCM of 75705 and 75711?
Answer:
Least Common Multiple of 75705 and 75711 = 1910567085
Step 1: Find the prime factorization of 75705
75705 = 3 x 5 x 7 x 7 x 103
Step 2: Find the prime factorization of 75711
75711 = 3 x 25237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1910567085 = 3 x 5 x 7 x 7 x 103 x 25237
Step 4: Therefore, the least common multiple of 75705 and 75711 is 1910567085.