Least Common Multiple of 726 and 727

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 727 the smallest integer that is 527802 that is divisible by both numbers.

Least Common Multiple (LCM) of 726 and 727 is 527802.

LCM(726,727) = 527802

LCM of 726 and 727

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

LCM of:
and

Least Common Multiple of 726 and 727

LCM of 726 and 727 is 527802

Least common multiple can be found by multiplying the highest exponent prime factors of 726 and 727. First we will calculate the prime factors of 726 and 727.

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 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 726 and 727.

LCM(726,727) = 21×31×112×7271
LCM(726,727) = 527802

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 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

Least Common Multiple of 726 and 727 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 727, than apply into the LCM equation.

GCF(726,727) = 1
LCM(726,727) = ( 726 × 727) / 1
LCM(726,727) = 527802 / 1
LCM(726,727) = 527802

Properties of LCM 726 and 727

(i) The LCM of 727 and 726 is associative

LCM of 726 and 727 = LCM of 727 and 726

Related Least Common Multiples of 726

Related Least Common Multiples of 727

Frequently Asked Questions on LCM of 726 and 727

1. What is the LCM of 726 and 727?

Answer: LCM of 726 and 727 is 527802.

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 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the LCM of 726 and 727?

Answer:

Least Common Multiple of 726 and 727 = 527802

Step 1: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

Step 2: Find the prime factorization of 727

727 = 727

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 527802 = 2 x 3 x 11 x 11 x 727

Step 4: Therefore, the least common multiple of 726 and 727 is 527802.