Least Common Multiple of 8478 and 8485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8478 and 8485 the smallest integer that is 71935830 that is divisible by both numbers.
Least Common Multiple (LCM) of 8478 and 8485 is 71935830.
LCM(8478,8485) = 71935830
LCM of 8478 and 8485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8478 and 8485 by Prime method
- Least Common Multiple of 8478 and 8485 with GCF Formula
LCM of 8478 and 8485 is 71935830
Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8485. First we will calculate the prime factors of 8478 and 8485.
Prime Factorization of 8478
| 2 | 8478 |
| 3 | 4239 |
| 3 | 1413 |
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 8478 are 2, 3,157. Prime factorization of 8478 in exponential form is:
8478 = 21×33×1571
Prime Factorization of 8485
| 5 | 8485 |
| 1697 | 1697 |
| 1 |
Prime factors of 8485 are 5,1697. Prime factorization of 8485 in exponential form is:
8485 = 51×16971
Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8485.
LCM(8478,8485) = 21×33×51×1571×16971
LCM(8478,8485) = 71935830
Factors of 8478
List of positive integer factors of 8478 that divides 8478 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
Factors of 8485
List of positive integer factors of 8485 that divides 8485 without a remainder.
1, 5, 1697, 8485
Least Common Multiple of 8478 and 8485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8485, than apply into the LCM equation.
GCF(8478,8485) = 1
LCM(8478,8485) = ( 8478 × 8485) / 1
LCM(8478,8485) = 71935830 / 1
LCM(8478,8485) = 71935830
Properties of LCM 8478 and 8485
(i) The LCM of 8485 and 8478 is associative
LCM of 8478 and 8485 = LCM of 8485 and 8478
Related Least Common Multiples of 8478
Related Least Common Multiples of 8485
Frequently Asked Questions on LCM of 8478 and 8485
1. What is the LCM of 8478 and 8485?
Answer: LCM of 8478 and 8485 is 71935830.
2. What are the Factors of 8478?
Answer: Factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478. There are 16 integers that are factors of 8478. The greatest factor of 8478 is 8478.
3. What are the Factors of 8485?
Answer: Factors of 8485 are 1, 5, 1697, 8485. There are 4 integers that are factors of 8485. The greatest factor of 8485 is 8485.
4. How to Find the LCM of 8478 and 8485?
Answer:
Least Common Multiple of 8478 and 8485 = 71935830
Step 1: Find the prime factorization of 8478
8478 = 2 x 3 x 3 x 3 x 157
Step 2: Find the prime factorization of 8485
8485 = 5 x 1697
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71935830 = 2 x 3 x 3 x 3 x 5 x 157 x 1697
Step 4: Therefore, the least common multiple of 8478 and 8485 is 71935830.