Least Common Multiple of 721 and 726
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 726 the smallest integer that is 523446 that is divisible by both numbers.
Least Common Multiple (LCM) of 721 and 726 is 523446.
LCM(721,726) = 523446
LCM of 721 and 726
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 721 and 726 by Prime method
- Least Common Multiple of 721 and 726 with GCF Formula
LCM of 721 and 726 is 523446
Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 726. First we will calculate the prime factors of 721 and 726.
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 726
| 2 | 726 |
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 726 are 2, 3,11. Prime factorization of 726 in exponential form is:
726 = 21×31×112
Now multiplying the highest exponent prime factors to calculate the LCM of 721 and 726.
LCM(721,726) = 21×31×71×112×1031
LCM(721,726) = 523446
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Least Common Multiple of 721 and 726 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 726, than apply into the LCM equation.
GCF(721,726) = 1
LCM(721,726) = ( 721 × 726) / 1
LCM(721,726) = 523446 / 1
LCM(721,726) = 523446
Properties of LCM 721 and 726
(i) The LCM of 726 and 721 is associative
LCM of 721 and 726 = LCM of 726 and 721
Related Least Common Multiples of 721
Related Least Common Multiples of 726
Frequently Asked Questions on LCM of 721 and 726
1. What is the LCM of 721 and 726?
Answer: LCM of 721 and 726 is 523446.
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 726?
Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.
4. How to Find the LCM of 721 and 726?
Answer:
Least Common Multiple of 721 and 726 = 523446
Step 1: Find the prime factorization of 721
721 = 7 x 103
Step 2: Find the prime factorization of 726
726 = 2 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 523446 = 2 x 3 x 7 x 11 x 11 x 103
Step 4: Therefore, the least common multiple of 721 and 726 is 523446.