Least Common Multiple of 8475 and 8479
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8475 and 8479 the smallest integer that is 71859525 that is divisible by both numbers.
Least Common Multiple (LCM) of 8475 and 8479 is 71859525.
LCM(8475,8479) = 71859525
LCM of 8475 and 8479
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8475 and 8479 by Prime method
- Least Common Multiple of 8475 and 8479 with GCF Formula
LCM of 8475 and 8479 is 71859525
Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8479. First we will calculate the prime factors of 8475 and 8479.
Prime Factorization of 8475
| 3 | 8475 |
| 5 | 2825 |
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 8475 are 3, 5,113. Prime factorization of 8475 in exponential form is:
8475 = 31×52×1131
Prime Factorization of 8479
| 61 | 8479 |
| 139 | 139 |
| 1 |
Prime factors of 8479 are 61,139. Prime factorization of 8479 in exponential form is:
8479 = 611×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 8475 and 8479.
LCM(8475,8479) = 31×52×611×1131×1391
LCM(8475,8479) = 71859525
Factors of 8475
List of positive integer factors of 8475 that divides 8475 without a remainder.
1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
Factors of 8479
List of positive integer factors of 8479 that divides 8479 without a remainder.
1, 61, 139, 8479
Least Common Multiple of 8475 and 8479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8475 and 8479, than apply into the LCM equation.
GCF(8475,8479) = 1
LCM(8475,8479) = ( 8475 × 8479) / 1
LCM(8475,8479) = 71859525 / 1
LCM(8475,8479) = 71859525
Properties of LCM 8475 and 8479
(i) The LCM of 8479 and 8475 is associative
LCM of 8475 and 8479 = LCM of 8479 and 8475
Related Least Common Multiples of 8475
Related Least Common Multiples of 8479
Frequently Asked Questions on LCM of 8475 and 8479
1. What is the LCM of 8475 and 8479?
Answer: LCM of 8475 and 8479 is 71859525.
2. What are the Factors of 8475?
Answer: Factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475. There are 12 integers that are factors of 8475. The greatest factor of 8475 is 8475.
3. What are the Factors of 8479?
Answer: Factors of 8479 are 1, 61, 139, 8479. There are 4 integers that are factors of 8479. The greatest factor of 8479 is 8479.
4. How to Find the LCM of 8475 and 8479?
Answer:
Least Common Multiple of 8475 and 8479 = 71859525
Step 1: Find the prime factorization of 8475
8475 = 3 x 5 x 5 x 113
Step 2: Find the prime factorization of 8479
8479 = 61 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 = 71859525 = 3 x 5 x 5 x 61 x 113 x 139
Step 4: Therefore, the least common multiple of 8475 and 8479 is 71859525.