Least Common Multiple of 10475 and 10479
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10475 and 10479 the smallest integer that is 109767525 that is divisible by both numbers.
Least Common Multiple (LCM) of 10475 and 10479 is 109767525.
LCM(10475,10479) = 109767525
LCM of 10475 and 10479
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10475 and 10479 by Prime method
- Least Common Multiple of 10475 and 10479 with GCF Formula
LCM of 10475 and 10479 is 109767525
Least common multiple can be found by multiplying the highest exponent prime factors of 10475 and 10479. First we will calculate the prime factors of 10475 and 10479.
Prime Factorization of 10475
| 5 | 10475 |
| 5 | 2095 |
| 419 | 419 |
| 1 |
Prime factors of 10475 are 5,419. Prime factorization of 10475 in exponential form is:
10475 = 52×4191
Prime Factorization of 10479
| 3 | 10479 |
| 7 | 3493 |
| 499 | 499 |
| 1 |
Prime factors of 10479 are 3, 7,499. Prime factorization of 10479 in exponential form is:
10479 = 31×71×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 10475 and 10479.
LCM(10475,10479) = 31×52×71×4191×4991
LCM(10475,10479) = 109767525
Factors of 10475
List of positive integer factors of 10475 that divides 10475 without a remainder.
1, 5, 25, 419, 2095, 10475
Factors of 10479
List of positive integer factors of 10479 that divides 10479 without a remainder.
1, 3, 7, 21, 499, 1497, 3493, 10479
Least Common Multiple of 10475 and 10479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10475 and 10479, than apply into the LCM equation.
GCF(10475,10479) = 1
LCM(10475,10479) = ( 10475 × 10479) / 1
LCM(10475,10479) = 109767525 / 1
LCM(10475,10479) = 109767525
Properties of LCM 10475 and 10479
(i) The LCM of 10479 and 10475 is associative
LCM of 10475 and 10479 = LCM of 10479 and 10475
Related Least Common Multiples of 10475
Related Least Common Multiples of 10479
Frequently Asked Questions on LCM of 10475 and 10479
1. What is the LCM of 10475 and 10479?
Answer: LCM of 10475 and 10479 is 109767525.
2. What are the Factors of 10475?
Answer: Factors of 10475 are 1, 5, 25, 419, 2095, 10475. There are 6 integers that are factors of 10475. The greatest factor of 10475 is 10475.
3. What are the Factors of 10479?
Answer: Factors of 10479 are 1, 3, 7, 21, 499, 1497, 3493, 10479. There are 8 integers that are factors of 10479. The greatest factor of 10479 is 10479.
4. How to Find the LCM of 10475 and 10479?
Answer:
Least Common Multiple of 10475 and 10479 = 109767525
Step 1: Find the prime factorization of 10475
10475 = 5 x 5 x 419
Step 2: Find the prime factorization of 10479
10479 = 3 x 7 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109767525 = 3 x 5 x 5 x 7 x 419 x 499
Step 4: Therefore, the least common multiple of 10475 and 10479 is 109767525.