Least Common Multiple of 81718 and 81725
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81718 and 81725 the smallest integer that is 954057650 that is divisible by both numbers.
Least Common Multiple (LCM) of 81718 and 81725 is 954057650.
LCM(81718,81725) = 954057650
LCM of 81718 and 81725
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81718 and 81725 by Prime method
- Least Common Multiple of 81718 and 81725 with GCF Formula
LCM of 81718 and 81725 is 954057650
Least common multiple can be found by multiplying the highest exponent prime factors of 81718 and 81725. First we will calculate the prime factors of 81718 and 81725.
Prime Factorization of 81718
| 2 | 81718 |
| 7 | 40859 |
| 13 | 5837 |
| 449 | 449 |
| 1 |
Prime factors of 81718 are 2, 7, 13,449. Prime factorization of 81718 in exponential form is:
81718 = 21×71×131×4491
Prime Factorization of 81725
| 5 | 81725 |
| 5 | 16345 |
| 7 | 3269 |
| 467 | 467 |
| 1 |
Prime factors of 81725 are 5, 7,467. Prime factorization of 81725 in exponential form is:
81725 = 52×71×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 81718 and 81725.
LCM(81718,81725) = 21×52×71×131×4491×4671
LCM(81718,81725) = 954057650
Factors of 81718
List of positive integer factors of 81718 that divides 81718 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859, 81718
Factors of 81725
List of positive integer factors of 81725 that divides 81725 without a remainder.
1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345, 81725
Least Common Multiple of 81718 and 81725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81718 and 81725, than apply into the LCM equation.
GCF(81718,81725) = 7
LCM(81718,81725) = ( 81718 × 81725) / 7
LCM(81718,81725) = 6678403550 / 7
LCM(81718,81725) = 954057650
Properties of LCM 81718 and 81725
(i) The LCM of 81725 and 81718 is associative
LCM of 81718 and 81725 = LCM of 81725 and 81718
Related Least Common Multiples of 81718
Related Least Common Multiples of 81725
Frequently Asked Questions on LCM of 81718 and 81725
1. What is the LCM of 81718 and 81725?
Answer: LCM of 81718 and 81725 is 954057650.
2. What are the Factors of 81718?
Answer: Factors of 81718 are 1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859, 81718. There are 16 integers that are factors of 81718. The greatest factor of 81718 is 81718.
3. What are the Factors of 81725?
Answer: Factors of 81725 are 1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345, 81725. There are 12 integers that are factors of 81725. The greatest factor of 81725 is 81725.
4. How to Find the LCM of 81718 and 81725?
Answer:
Least Common Multiple of 81718 and 81725 = 954057650
Step 1: Find the prime factorization of 81718
81718 = 2 x 7 x 13 x 449
Step 2: Find the prime factorization of 81725
81725 = 5 x 5 x 7 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 954057650 = 2 x 5 x 5 x 7 x 13 x 449 x 467
Step 4: Therefore, the least common multiple of 81718 and 81725 is 954057650.