Least Common Multiple of 726 and 734

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

LCM of 726 and 734

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 726 and 734

LCM of 726 and 734 is 266442

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

Least Common Multiple of 726 and 734 with GCF Formula

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

Properties of LCM 726 and 734

(i) The LCM of 734 and 726 is associative

LCM of 726 and 734 = LCM of 734 and 726

Related Least Common Multiples of 726

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 726 and 734

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.