Least Common Multiple of 721 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 721 and 722 the smallest integer that is 520562 that is divisible by both numbers.
Least Common Multiple (LCM) of 721 and 722 is 520562.
LCM(721,722) = 520562
LCM of 721 and 722
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 721 and 722 by Prime method
- Least Common Multiple of 721 and 722 with GCF Formula
LCM of 721 and 722 is 520562
Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 722. First we will calculate the prime factors of 721 and 722.
Prime Factorization of 721
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:
721 = 71×1031
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 721 and 722.
LCM(721,722) = 21×71×192×1031
LCM(721,722) = 520562
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1, 7, 103, 721
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 721 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 721 and 722, than apply into the LCM equation.
GCF(721,722) = 1
LCM(721,722) = ( 721 × 722) / 1
LCM(721,722) = 520562 / 1
LCM(721,722) = 520562
Properties of LCM 721 and 722
(i) The LCM of 722 and 721 is associative
LCM of 721 and 722 = LCM of 722 and 721
Related Least Common Multiples of 721
Related Least Common Multiples of 722
Frequently Asked Questions on LCM of 721 and 722
1. What is the LCM of 721 and 722?
Answer: LCM of 721 and 722 is 520562.
2. What are the Factors of 721?
Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.
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 721 and 722?
Answer:
Least Common Multiple of 721 and 722 = 520562
Step 1: Find the prime factorization of 721
721 = 7 x 103
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 = 520562 = 2 x 7 x 19 x 19 x 103
Step 4: Therefore, the least common multiple of 721 and 722 is 520562.
