Least Common Multiple of 81741 and 81749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81741 and 81749 the smallest integer that is 6682245009 that is divisible by both numbers.
Least Common Multiple (LCM) of 81741 and 81749 is 6682245009.
LCM(81741,81749) = 6682245009
LCM of 81741 and 81749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81741 and 81749 by Prime method
- Least Common Multiple of 81741 and 81749 with GCF Formula
LCM of 81741 and 81749 is 6682245009
Least common multiple can be found by multiplying the highest exponent prime factors of 81741 and 81749. First we will calculate the prime factors of 81741 and 81749.
Prime Factorization of 81741
| 3 | 81741 |
| 11 | 27247 |
| 2477 | 2477 |
| 1 |
Prime factors of 81741 are 3, 11,2477. Prime factorization of 81741 in exponential form is:
81741 = 31×111×24771
Prime Factorization of 81749
| 81749 | 81749 |
| 1 |
Prime factors of 81749 are 81749. Prime factorization of 81749 in exponential form is:
81749 = 817491
Now multiplying the highest exponent prime factors to calculate the LCM of 81741 and 81749.
LCM(81741,81749) = 31×111×24771×817491
LCM(81741,81749) = 6682245009
Factors of 81741
List of positive integer factors of 81741 that divides 81741 without a remainder.
1, 3, 11, 33, 2477, 7431, 27247, 81741
Factors of 81749
List of positive integer factors of 81749 that divides 81749 without a remainder.
1, 81749
Least Common Multiple of 81741 and 81749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81741 and 81749, than apply into the LCM equation.
GCF(81741,81749) = 1
LCM(81741,81749) = ( 81741 × 81749) / 1
LCM(81741,81749) = 6682245009 / 1
LCM(81741,81749) = 6682245009
Properties of LCM 81741 and 81749
(i) The LCM of 81749 and 81741 is associative
LCM of 81741 and 81749 = LCM of 81749 and 81741
Related Least Common Multiples of 81741
Related Least Common Multiples of 81749
Frequently Asked Questions on LCM of 81741 and 81749
1. What is the LCM of 81741 and 81749?
Answer: LCM of 81741 and 81749 is 6682245009.
2. What are the Factors of 81741?
Answer: Factors of 81741 are 1, 3, 11, 33, 2477, 7431, 27247, 81741. There are 8 integers that are factors of 81741. The greatest factor of 81741 is 81741.
3. What are the Factors of 81749?
Answer: Factors of 81749 are 1, 81749. There are 2 integers that are factors of 81749. The greatest factor of 81749 is 81749.
4. How to Find the LCM of 81741 and 81749?
Answer:
Least Common Multiple of 81741 and 81749 = 6682245009
Step 1: Find the prime factorization of 81741
81741 = 3 x 11 x 2477
Step 2: Find the prime factorization of 81749
81749 = 81749
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6682245009 = 3 x 11 x 2477 x 81749
Step 4: Therefore, the least common multiple of 81741 and 81749 is 6682245009.