Least Common Multiple of 718 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 718 and 726 the smallest integer that is 260634 that is divisible by both numbers.

Least Common Multiple (LCM) of 718 and 726 is 260634.

LCM(718,726) = 260634

LCM of 718 and 726

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

LCM of:
and

Least Common Multiple of 718 and 726

LCM of 718 and 726 is 260634

Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 726. First we will calculate the prime factors of 718 and 726.

Prime Factorization of 718


2 718
359 359
1

Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:

718 = 21×3591

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 718 and 726.

LCM(718,726) = 21×31×112×3591
LCM(718,726) = 260634

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 718 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 718 and 726, than apply into the LCM equation.

GCF(718,726) = 2
LCM(718,726) = ( 718 × 726) / 2
LCM(718,726) = 521268 / 2
LCM(718,726) = 260634

Properties of LCM 718 and 726

(i) The LCM of 726 and 718 is associative

LCM of 718 and 726 = LCM of 726 and 718

Related Least Common Multiples of 718

Related Least Common Multiples of 726

Frequently Asked Questions on LCM of 718 and 726

1. What is the LCM of 718 and 726?

Answer: LCM of 718 and 726 is 260634.

2. What are the Factors of 718?

Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.

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 718 and 726?

Answer:

Least Common Multiple of 718 and 726 = 260634

Step 1: Find the prime factorization of 718

718 = 2 x 359

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 = 260634 = 2 x 3 x 11 x 11 x 359

Step 4: Therefore, the least common multiple of 718 and 726 is 260634.