Least Common Multiple of 1715 and 1719
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1715 and 1719 the smallest integer that is 2948085 that is divisible by both numbers.
Least Common Multiple (LCM) of 1715 and 1719 is 2948085.
LCM(1715,1719) = 2948085
LCM of 1715 and 1719
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1715 and 1719 by Prime method
- Least Common Multiple of 1715 and 1719 with GCF Formula
LCM of 1715 and 1719 is 2948085
Least common multiple can be found by multiplying the highest exponent prime factors of 1715 and 1719. First we will calculate the prime factors of 1715 and 1719.
Prime Factorization of 1715
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:
1715 = 51×73
Prime Factorization of 1719
| 3 | 1719 |
| 3 | 573 |
| 191 | 191 |
| 1 |
Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:
1719 = 32×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 1715 and 1719.
LCM(1715,1719) = 32×51×73×1911
LCM(1715,1719) = 2948085
Factors of 1715
List of positive integer factors of 1715 that divides 1715 without a remainder.
1, 5, 7, 35, 49, 245, 343, 1715
Factors of 1719
List of positive integer factors of 1719 that divides 1719 without a remainder.
1, 3, 9, 191, 573, 1719
Least Common Multiple of 1715 and 1719 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1715 and 1719, than apply into the LCM equation.
GCF(1715,1719) = 1
LCM(1715,1719) = ( 1715 × 1719) / 1
LCM(1715,1719) = 2948085 / 1
LCM(1715,1719) = 2948085
Properties of LCM 1715 and 1719
(i) The LCM of 1719 and 1715 is associative
LCM of 1715 and 1719 = LCM of 1719 and 1715
Related Least Common Multiples of 1715
Related Least Common Multiples of 1719
Frequently Asked Questions on LCM of 1715 and 1719
1. What is the LCM of 1715 and 1719?
Answer: LCM of 1715 and 1719 is 2948085.
2. What are the Factors of 1715?
Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.
3. What are the Factors of 1719?
Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.
4. How to Find the LCM of 1715 and 1719?
Answer:
Least Common Multiple of 1715 and 1719 = 2948085
Step 1: Find the prime factorization of 1715
1715 = 5 x 7 x 7 x 7
Step 2: Find the prime factorization of 1719
1719 = 3 x 3 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2948085 = 3 x 3 x 5 x 7 x 7 x 7 x 191
Step 4: Therefore, the least common multiple of 1715 and 1719 is 2948085.