Least Common Multiple of 8642 and 8647
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8642 and 8647 the smallest integer that is 74727374 that is divisible by both numbers.
Least Common Multiple (LCM) of 8642 and 8647 is 74727374.
LCM(8642,8647) = 74727374
LCM of 8642 and 8647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8642 and 8647 by Prime method
- Least Common Multiple of 8642 and 8647 with GCF Formula
LCM of 8642 and 8647 is 74727374
Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8647. First we will calculate the prime factors of 8642 and 8647.
Prime Factorization of 8642
| 2 | 8642 |
| 29 | 4321 |
| 149 | 149 |
| 1 |
Prime factors of 8642 are 2, 29,149. Prime factorization of 8642 in exponential form is:
8642 = 21×291×1491
Prime Factorization of 8647
| 8647 | 8647 |
| 1 |
Prime factors of 8647 are 8647. Prime factorization of 8647 in exponential form is:
8647 = 86471
Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8647.
LCM(8642,8647) = 21×291×1491×86471
LCM(8642,8647) = 74727374
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1, 2, 29, 58, 149, 298, 4321, 8642
Factors of 8647
List of positive integer factors of 8647 that divides 8647 without a remainder.
1, 8647
Least Common Multiple of 8642 and 8647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8647, than apply into the LCM equation.
GCF(8642,8647) = 1
LCM(8642,8647) = ( 8642 × 8647) / 1
LCM(8642,8647) = 74727374 / 1
LCM(8642,8647) = 74727374
Properties of LCM 8642 and 8647
(i) The LCM of 8647 and 8642 is associative
LCM of 8642 and 8647 = LCM of 8647 and 8642
Related Least Common Multiples of 8642
Related Least Common Multiples of 8647
Frequently Asked Questions on LCM of 8642 and 8647
1. What is the LCM of 8642 and 8647?
Answer: LCM of 8642 and 8647 is 74727374.
2. What are the Factors of 8642?
Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.
3. What are the Factors of 8647?
Answer: Factors of 8647 are 1, 8647. There are 2 integers that are factors of 8647. The greatest factor of 8647 is 8647.
4. How to Find the LCM of 8642 and 8647?
Answer:
Least Common Multiple of 8642 and 8647 = 74727374
Step 1: Find the prime factorization of 8642
8642 = 2 x 29 x 149
Step 2: Find the prime factorization of 8647
8647 = 8647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74727374 = 2 x 29 x 149 x 8647
Step 4: Therefore, the least common multiple of 8642 and 8647 is 74727374.