Least Common Multiple of 725 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 725 and 726 the smallest integer that is 526350 that is divisible by both numbers.
Least Common Multiple (LCM) of 725 and 726 is 526350.
LCM(725,726) = 526350
LCM of 725 and 726
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 725 and 726 by Prime method
- Least Common Multiple of 725 and 726 with GCF Formula
LCM of 725 and 726 is 526350
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 726. First we will calculate the prime factors of 725 and 726.
Prime Factorization of 725
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:
725 = 52×291
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 725 and 726.
LCM(725,726) = 21×31×52×112×291
LCM(725,726) = 526350
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
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 725 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 725 and 726, than apply into the LCM equation.
GCF(725,726) = 1
LCM(725,726) = ( 725 × 726) / 1
LCM(725,726) = 526350 / 1
LCM(725,726) = 526350
Properties of LCM 725 and 726
(i) The LCM of 726 and 725 is associative
LCM of 725 and 726 = LCM of 726 and 725
Related Least Common Multiples of 725
Related Least Common Multiples of 726
Frequently Asked Questions on LCM of 725 and 726
1. What is the LCM of 725 and 726?
Answer: LCM of 725 and 726 is 526350.
2. What are the Factors of 725?
Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.
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 725 and 726?
Answer:
Least Common Multiple of 725 and 726 = 526350
Step 1: Find the prime factorization of 725
725 = 5 x 5 x 29
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 = 526350 = 2 x 3 x 5 x 5 x 11 x 11 x 29
Step 4: Therefore, the least common multiple of 725 and 726 is 526350.
