Least Common Multiple of 719 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 719 and 726 the smallest integer that is 521994 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 726 is 521994.

LCM(719,726) = 521994

LCM of 719 and 726

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

LCM of:
and

Least Common Multiple of 719 and 726

LCM of 719 and 726 is 521994

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 726. First we will calculate the prime factors of 719 and 726.

Prime Factorization of 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

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 719 and 726.

LCM(719,726) = 21×31×112×7191
LCM(719,726) = 521994

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1, 719

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 719 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 719 and 726, than apply into the LCM equation.

GCF(719,726) = 1
LCM(719,726) = ( 719 × 726) / 1
LCM(719,726) = 521994 / 1
LCM(719,726) = 521994

Properties of LCM 719 and 726

(i) The LCM of 726 and 719 is associative

LCM of 719 and 726 = LCM of 726 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 726

Frequently Asked Questions on LCM of 719 and 726

1. What is the LCM of 719 and 726?

Answer: LCM of 719 and 726 is 521994.

2. What are the Factors of 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

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 719 and 726?

Answer:

Least Common Multiple of 719 and 726 = 521994

Step 1: Find the prime factorization of 719

719 = 719

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 = 521994 = 2 x 3 x 11 x 11 x 719

Step 4: Therefore, the least common multiple of 719 and 726 is 521994.