Least Common Multiple of 3375 and 3379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3375 and 3379 the smallest integer that is 11404125 that is divisible by both numbers.
Least Common Multiple (LCM) of 3375 and 3379 is 11404125.
LCM(3375,3379) = 11404125
LCM of 3375 and 3379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3375 and 3379 by Prime method
- Least Common Multiple of 3375 and 3379 with GCF Formula
LCM of 3375 and 3379 is 11404125
Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3379. First we will calculate the prime factors of 3375 and 3379.
Prime Factorization of 3375
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 3375 are 3,5. Prime factorization of 3375 in exponential form is:
3375 = 33×53
Prime Factorization of 3379
| 31 | 3379 |
| 109 | 109 |
| 1 |
Prime factors of 3379 are 31,109. Prime factorization of 3379 in exponential form is:
3379 = 311×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3379.
LCM(3375,3379) = 33×53×311×1091
LCM(3375,3379) = 11404125
Factors of 3375
List of positive integer factors of 3375 that divides 3375 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375
Factors of 3379
List of positive integer factors of 3379 that divides 3379 without a remainder.
1, 31, 109, 3379
Least Common Multiple of 3375 and 3379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3375 and 3379, than apply into the LCM equation.
GCF(3375,3379) = 1
LCM(3375,3379) = ( 3375 × 3379) / 1
LCM(3375,3379) = 11404125 / 1
LCM(3375,3379) = 11404125
Properties of LCM 3375 and 3379
(i) The LCM of 3379 and 3375 is associative
LCM of 3375 and 3379 = LCM of 3379 and 3375
Related Least Common Multiples of 3375
Related Least Common Multiples of 3379
Frequently Asked Questions on LCM of 3375 and 3379
1. What is the LCM of 3375 and 3379?
Answer: LCM of 3375 and 3379 is 11404125.
2. What are the Factors of 3375?
Answer: Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. There are 16 integers that are factors of 3375. The greatest factor of 3375 is 3375.
3. What are the Factors of 3379?
Answer: Factors of 3379 are 1, 31, 109, 3379. There are 4 integers that are factors of 3379. The greatest factor of 3379 is 3379.
4. How to Find the LCM of 3375 and 3379?
Answer:
Least Common Multiple of 3375 and 3379 = 11404125
Step 1: Find the prime factorization of 3375
3375 = 3 x 3 x 3 x 5 x 5 x 5
Step 2: Find the prime factorization of 3379
3379 = 31 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11404125 = 3 x 3 x 3 x 5 x 5 x 5 x 31 x 109
Step 4: Therefore, the least common multiple of 3375 and 3379 is 11404125.