Least Common Multiple of 719 and 722
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 719 and 722 the smallest integer that is 519118 that is divisible by both numbers.
Least Common Multiple (LCM) of 719 and 722 is 519118.
LCM(719,722) = 519118
LCM of 719 and 722
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 719 and 722 by Prime method
- Least Common Multiple of 719 and 722 with GCF Formula
LCM of 719 and 722 is 519118
Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 722. First we will calculate the prime factors of 719 and 722.
Prime Factorization of 719
| 719 | 719 |
| 1 |
Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:
719 = 7191
Prime Factorization of 722
| 2 | 722 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:
722 = 21×192
Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 722.
LCM(719,722) = 21×192×7191
LCM(719,722) = 519118
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1, 719
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Least Common Multiple of 719 and 722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 719 and 722, than apply into the LCM equation.
GCF(719,722) = 1
LCM(719,722) = ( 719 × 722) / 1
LCM(719,722) = 519118 / 1
LCM(719,722) = 519118
Properties of LCM 719 and 722
(i) The LCM of 722 and 719 is associative
LCM of 719 and 722 = LCM of 722 and 719
Related Least Common Multiples of 719
Related Least Common Multiples of 722
Frequently Asked Questions on LCM of 719 and 722
1. What is the LCM of 719 and 722?
Answer: LCM of 719 and 722 is 519118.
2. 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.
3. What are the Factors of 722?
Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.
4. How to Find the LCM of 719 and 722?
Answer:
Least Common Multiple of 719 and 722 = 519118
Step 1: Find the prime factorization of 719
719 = 719
Step 2: Find the prime factorization of 722
722 = 2 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 519118 = 2 x 19 x 19 x 719
Step 4: Therefore, the least common multiple of 719 and 722 is 519118.