Least Common Multiple of 81725 and 81732
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81725 and 81732 the smallest integer that is 954221100 that is divisible by both numbers.
Least Common Multiple (LCM) of 81725 and 81732 is 954221100.
LCM(81725,81732) = 954221100
LCM of 81725 and 81732
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81725 and 81732 by Prime method
- Least Common Multiple of 81725 and 81732 with GCF Formula
LCM of 81725 and 81732 is 954221100
Least common multiple can be found by multiplying the highest exponent prime factors of 81725 and 81732. First we will calculate the prime factors of 81725 and 81732.
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
Prime Factorization of 81732
| 2 | 81732 |
| 2 | 40866 |
| 3 | 20433 |
| 7 | 6811 |
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 81732 are 2, 3, 7,139. Prime factorization of 81732 in exponential form is:
81732 = 22×31×72×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 81725 and 81732.
LCM(81725,81732) = 22×31×52×72×1391×4671
LCM(81725,81732) = 954221100
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
Factors of 81732
List of positive integer factors of 81732 that divides 81732 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 139, 147, 196, 278, 294, 417, 556, 588, 834, 973, 1668, 1946, 2919, 3892, 5838, 6811, 11676, 13622, 20433, 27244, 40866, 81732
Least Common Multiple of 81725 and 81732 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81725 and 81732, than apply into the LCM equation.
GCF(81725,81732) = 7
LCM(81725,81732) = ( 81725 × 81732) / 7
LCM(81725,81732) = 6679547700 / 7
LCM(81725,81732) = 954221100
Properties of LCM 81725 and 81732
(i) The LCM of 81732 and 81725 is associative
LCM of 81725 and 81732 = LCM of 81732 and 81725
Related Least Common Multiples of 81725
Related Least Common Multiples of 81732
Frequently Asked Questions on LCM of 81725 and 81732
1. What is the LCM of 81725 and 81732?
Answer: LCM of 81725 and 81732 is 954221100.
2. 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.
3. What are the Factors of 81732?
Answer: Factors of 81732 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 139, 147, 196, 278, 294, 417, 556, 588, 834, 973, 1668, 1946, 2919, 3892, 5838, 6811, 11676, 13622, 20433, 27244, 40866, 81732. There are 36 integers that are factors of 81732. The greatest factor of 81732 is 81732.
4. How to Find the LCM of 81725 and 81732?
Answer:
Least Common Multiple of 81725 and 81732 = 954221100
Step 1: Find the prime factorization of 81725
81725 = 5 x 5 x 7 x 467
Step 2: Find the prime factorization of 81732
81732 = 2 x 2 x 3 x 7 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 954221100 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 139 x 467
Step 4: Therefore, the least common multiple of 81725 and 81732 is 954221100.