Least Common Multiple of 7595 and 7599
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7595 and 7599 the smallest integer that is 57714405 that is divisible by both numbers.
Least Common Multiple (LCM) of 7595 and 7599 is 57714405.
LCM(7595,7599) = 57714405
LCM of 7595 and 7599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7595 and 7599 by Prime method
- Least Common Multiple of 7595 and 7599 with GCF Formula
LCM of 7595 and 7599 is 57714405
Least common multiple can be found by multiplying the highest exponent prime factors of 7595 and 7599. First we will calculate the prime factors of 7595 and 7599.
Prime Factorization of 7595
| 5 | 7595 |
| 7 | 1519 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 7595 are 5, 7,31. Prime factorization of 7595 in exponential form is:
7595 = 51×72×311
Prime Factorization of 7599
| 3 | 7599 |
| 17 | 2533 |
| 149 | 149 |
| 1 |
Prime factors of 7599 are 3, 17,149. Prime factorization of 7599 in exponential form is:
7599 = 31×171×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 7595 and 7599.
LCM(7595,7599) = 31×51×72×171×311×1491
LCM(7595,7599) = 57714405
Factors of 7595
List of positive integer factors of 7595 that divides 7595 without a remainder.
1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
Factors of 7599
List of positive integer factors of 7599 that divides 7599 without a remainder.
1, 3, 17, 51, 149, 447, 2533, 7599
Least Common Multiple of 7595 and 7599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7595 and 7599, than apply into the LCM equation.
GCF(7595,7599) = 1
LCM(7595,7599) = ( 7595 × 7599) / 1
LCM(7595,7599) = 57714405 / 1
LCM(7595,7599) = 57714405
Properties of LCM 7595 and 7599
(i) The LCM of 7599 and 7595 is associative
LCM of 7595 and 7599 = LCM of 7599 and 7595
Related Least Common Multiples of 7595
Related Least Common Multiples of 7599
Frequently Asked Questions on LCM of 7595 and 7599
1. What is the LCM of 7595 and 7599?
Answer: LCM of 7595 and 7599 is 57714405.
2. What are the Factors of 7595?
Answer: Factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595. There are 12 integers that are factors of 7595. The greatest factor of 7595 is 7595.
3. What are the Factors of 7599?
Answer: Factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599. There are 8 integers that are factors of 7599. The greatest factor of 7599 is 7599.
4. How to Find the LCM of 7595 and 7599?
Answer:
Least Common Multiple of 7595 and 7599 = 57714405
Step 1: Find the prime factorization of 7595
7595 = 5 x 7 x 7 x 31
Step 2: Find the prime factorization of 7599
7599 = 3 x 17 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57714405 = 3 x 5 x 7 x 7 x 17 x 31 x 149
Step 4: Therefore, the least common multiple of 7595 and 7599 is 57714405.