Least Common Multiple of 4275 and 4279
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4275 and 4279 the smallest integer that is 18292725 that is divisible by both numbers.
Least Common Multiple (LCM) of 4275 and 4279 is 18292725.
LCM(4275,4279) = 18292725
LCM of 4275 and 4279
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4275 and 4279 by Prime method
- Least Common Multiple of 4275 and 4279 with GCF Formula
LCM of 4275 and 4279 is 18292725
Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4279. First we will calculate the prime factors of 4275 and 4279.
Prime Factorization of 4275
| 3 | 4275 |
| 3 | 1425 |
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 4275 are 3, 5,19. Prime factorization of 4275 in exponential form is:
4275 = 32×52×191
Prime Factorization of 4279
| 11 | 4279 |
| 389 | 389 |
| 1 |
Prime factors of 4279 are 11,389. Prime factorization of 4279 in exponential form is:
4279 = 111×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4279.
LCM(4275,4279) = 32×52×111×191×3891
LCM(4275,4279) = 18292725
Factors of 4275
List of positive integer factors of 4275 that divides 4275 without a remainder.
1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275
Factors of 4279
List of positive integer factors of 4279 that divides 4279 without a remainder.
1, 11, 389, 4279
Least Common Multiple of 4275 and 4279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4275 and 4279, than apply into the LCM equation.
GCF(4275,4279) = 1
LCM(4275,4279) = ( 4275 × 4279) / 1
LCM(4275,4279) = 18292725 / 1
LCM(4275,4279) = 18292725
Properties of LCM 4275 and 4279
(i) The LCM of 4279 and 4275 is associative
LCM of 4275 and 4279 = LCM of 4279 and 4275
Related Least Common Multiples of 4275
Related Least Common Multiples of 4279
Frequently Asked Questions on LCM of 4275 and 4279
1. What is the LCM of 4275 and 4279?
Answer: LCM of 4275 and 4279 is 18292725.
2. What are the Factors of 4275?
Answer: Factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275. There are 18 integers that are factors of 4275. The greatest factor of 4275 is 4275.
3. What are the Factors of 4279?
Answer: Factors of 4279 are 1, 11, 389, 4279. There are 4 integers that are factors of 4279. The greatest factor of 4279 is 4279.
4. How to Find the LCM of 4275 and 4279?
Answer:
Least Common Multiple of 4275 and 4279 = 18292725
Step 1: Find the prime factorization of 4275
4275 = 3 x 3 x 5 x 5 x 19
Step 2: Find the prime factorization of 4279
4279 = 11 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18292725 = 3 x 3 x 5 x 5 x 11 x 19 x 389
Step 4: Therefore, the least common multiple of 4275 and 4279 is 18292725.