Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 726 and 734 the smallest integer that is 266442 that is divisible by both numbers.
Least Common Multiple (LCM) of 726 and 734 is 266442.
LCM(726,734) = 266442
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 726 and 734. First we will calculate the prime factors of 726 and 734.
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
Prime Factorization of 734
2 | 734 |
367 | 367 |
1 |
Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:
734 = 21×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 726 and 734.
LCM(726,734) = 21×31×112×3671
LCM(726,734) = 266442
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
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1, 2, 367, 734
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 726 and 734, than apply into the LCM equation.
GCF(726,734) = 2
LCM(726,734) = ( 726 × 734) / 2
LCM(726,734) = 532884 / 2
LCM(726,734) = 266442
(i) The LCM of 734 and 726 is associative
LCM of 726 and 734 = LCM of 734 and 726
1. What is the LCM of 726 and 734?
Answer: LCM of 726 and 734 is 266442.
2. 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.
3. What are the Factors of 734?
Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.
4. How to Find the LCM of 726 and 734?
Answer:
Least Common Multiple of 726 and 734 = 266442
Step 1: Find the prime factorization of 726
726 = 2 x 3 x 11 x 11
Step 2: Find the prime factorization of 734
734 = 2 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 266442 = 2 x 3 x 11 x 11 x 367
Step 4: Therefore, the least common multiple of 726 and 734 is 266442.