Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 716 and 719 the smallest integer that is 514804 that is divisible by both numbers.
Least Common Multiple (LCM) of 716 and 719 is 514804.
LCM(716,719) = 514804
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 719. First we will calculate the prime factors of 716 and 719.
Prime Factorization of 716
2 | 716 |
2 | 358 |
179 | 179 |
1 |
Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:
716 = 22×1791
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 716 and 719.
LCM(716,719) = 22×1791×7191
LCM(716,719) = 514804
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1, 719
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 716 and 719, than apply into the LCM equation.
GCF(716,719) = 1
LCM(716,719) = ( 716 × 719) / 1
LCM(716,719) = 514804 / 1
LCM(716,719) = 514804
(i) The LCM of 719 and 716 is associative
LCM of 716 and 719 = LCM of 719 and 716
1. What is the LCM of 716 and 719?
Answer: LCM of 716 and 719 is 514804.
2. What are the Factors of 716?
Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.
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 716 and 719?
Answer:
Least Common Multiple of 716 and 719 = 514804
Step 1: Find the prime factorization of 716
716 = 2 x 2 x 179
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 = 514804 = 2 x 2 x 179 x 719
Step 4: Therefore, the least common multiple of 716 and 719 is 514804.