Least Common Multiple of 8742 and 8747
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8742 and 8747 the smallest integer that is 76466274 that is divisible by both numbers.
Least Common Multiple (LCM) of 8742 and 8747 is 76466274.
LCM(8742,8747) = 76466274
LCM of 8742 and 8747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8742 and 8747 by Prime method
- Least Common Multiple of 8742 and 8747 with GCF Formula
LCM of 8742 and 8747 is 76466274
Least common multiple can be found by multiplying the highest exponent prime factors of 8742 and 8747. First we will calculate the prime factors of 8742 and 8747.
Prime Factorization of 8742
| 2 | 8742 |
| 3 | 4371 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 8742 are 2, 3, 31,47. Prime factorization of 8742 in exponential form is:
8742 = 21×31×311×471
Prime Factorization of 8747
| 8747 | 8747 |
| 1 |
Prime factors of 8747 are 8747. Prime factorization of 8747 in exponential form is:
8747 = 87471
Now multiplying the highest exponent prime factors to calculate the LCM of 8742 and 8747.
LCM(8742,8747) = 21×31×311×471×87471
LCM(8742,8747) = 76466274
Factors of 8742
List of positive integer factors of 8742 that divides 8742 without a remainder.
1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
Factors of 8747
List of positive integer factors of 8747 that divides 8747 without a remainder.
1, 8747
Least Common Multiple of 8742 and 8747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8742 and 8747, than apply into the LCM equation.
GCF(8742,8747) = 1
LCM(8742,8747) = ( 8742 × 8747) / 1
LCM(8742,8747) = 76466274 / 1
LCM(8742,8747) = 76466274
Properties of LCM 8742 and 8747
(i) The LCM of 8747 and 8742 is associative
LCM of 8742 and 8747 = LCM of 8747 and 8742
Related Least Common Multiples of 8742
Related Least Common Multiples of 8747
Frequently Asked Questions on LCM of 8742 and 8747
1. What is the LCM of 8742 and 8747?
Answer: LCM of 8742 and 8747 is 76466274.
2. What are the Factors of 8742?
Answer: Factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. There are 16 integers that are factors of 8742. The greatest factor of 8742 is 8742.
3. What are the Factors of 8747?
Answer: Factors of 8747 are 1, 8747. There are 2 integers that are factors of 8747. The greatest factor of 8747 is 8747.
4. How to Find the LCM of 8742 and 8747?
Answer:
Least Common Multiple of 8742 and 8747 = 76466274
Step 1: Find the prime factorization of 8742
8742 = 2 x 3 x 31 x 47
Step 2: Find the prime factorization of 8747
8747 = 8747
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76466274 = 2 x 3 x 31 x 47 x 8747
Step 4: Therefore, the least common multiple of 8742 and 8747 is 76466274.