Least Common Multiple of 4375 and 4379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4375 and 4379 the smallest integer that is 19158125 that is divisible by both numbers.
Least Common Multiple (LCM) of 4375 and 4379 is 19158125.
LCM(4375,4379) = 19158125
LCM of 4375 and 4379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4375 and 4379 by Prime method
- Least Common Multiple of 4375 and 4379 with GCF Formula
LCM of 4375 and 4379 is 19158125
Least common multiple can be found by multiplying the highest exponent prime factors of 4375 and 4379. First we will calculate the prime factors of 4375 and 4379.
Prime Factorization of 4375
| 5 | 4375 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 4375 are 5,7. Prime factorization of 4375 in exponential form is:
4375 = 54×71
Prime Factorization of 4379
| 29 | 4379 |
| 151 | 151 |
| 1 |
Prime factors of 4379 are 29,151. Prime factorization of 4379 in exponential form is:
4379 = 291×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 4375 and 4379.
LCM(4375,4379) = 54×71×291×1511
LCM(4375,4379) = 19158125
Factors of 4375
List of positive integer factors of 4375 that divides 4375 without a remainder.
1, 5, 7, 25, 35, 125, 175, 625, 875, 4375
Factors of 4379
List of positive integer factors of 4379 that divides 4379 without a remainder.
1, 29, 151, 4379
Least Common Multiple of 4375 and 4379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4375 and 4379, than apply into the LCM equation.
GCF(4375,4379) = 1
LCM(4375,4379) = ( 4375 × 4379) / 1
LCM(4375,4379) = 19158125 / 1
LCM(4375,4379) = 19158125
Properties of LCM 4375 and 4379
(i) The LCM of 4379 and 4375 is associative
LCM of 4375 and 4379 = LCM of 4379 and 4375
Related Least Common Multiples of 4375
Related Least Common Multiples of 4379
Frequently Asked Questions on LCM of 4375 and 4379
1. What is the LCM of 4375 and 4379?
Answer: LCM of 4375 and 4379 is 19158125.
2. What are the Factors of 4375?
Answer: Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. There are 10 integers that are factors of 4375. The greatest factor of 4375 is 4375.
3. What are the Factors of 4379?
Answer: Factors of 4379 are 1, 29, 151, 4379. There are 4 integers that are factors of 4379. The greatest factor of 4379 is 4379.
4. How to Find the LCM of 4375 and 4379?
Answer:
Least Common Multiple of 4375 and 4379 = 19158125
Step 1: Find the prime factorization of 4375
4375 = 5 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 4379
4379 = 29 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19158125 = 5 x 5 x 5 x 5 x 7 x 29 x 151
Step 4: Therefore, the least common multiple of 4375 and 4379 is 19158125.