Least Common Multiple of 715 and 719
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 715 and 719 the smallest integer that is 514085 that is divisible by both numbers.
Least Common Multiple (LCM) of 715 and 719 is 514085.
LCM(715,719) = 514085
LCM of 715 and 719
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 715 and 719 by Prime method
- Least Common Multiple of 715 and 719 with GCF Formula
LCM of 715 and 719 is 514085
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 719. First we will calculate the prime factors of 715 and 719.
Prime Factorization of 715
| 5 | 715 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:
715 = 51×111×131
Prime Factorization of 719
| 719 | 719 |
| 1 |
Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:
719 = 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 719.
LCM(715,719) = 51×111×131×7191
LCM(715,719) = 514085
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1, 719
Least Common Multiple of 715 and 719 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 715 and 719, than apply into the LCM equation.
GCF(715,719) = 1
LCM(715,719) = ( 715 × 719) / 1
LCM(715,719) = 514085 / 1
LCM(715,719) = 514085
Properties of LCM 715 and 719
(i) The LCM of 719 and 715 is associative
LCM of 715 and 719 = LCM of 719 and 715
Related Least Common Multiples of 715
Related Least Common Multiples of 719
Frequently Asked Questions on LCM of 715 and 719
1. What is the LCM of 715 and 719?
Answer: LCM of 715 and 719 is 514085.
2. What are the Factors of 715?
Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.
3. What are the Factors of 719?
Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.
4. How to Find the LCM of 715 and 719?
Answer:
Least Common Multiple of 715 and 719 = 514085
Step 1: Find the prime factorization of 715
715 = 5 x 11 x 13
Step 2: Find the prime factorization of 719
719 = 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 514085 = 5 x 11 x 13 x 719
Step 4: Therefore, the least common multiple of 715 and 719 is 514085.
