Least Common Multiple of 719 and 724

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 724 the smallest integer that is 520556 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 724 is 520556.

LCM(719,724) = 520556

LCM of 719 and 724

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

LCM of:
and

Least Common Multiple of 719 and 724

LCM of 719 and 724 is 520556

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 724. First we will calculate the prime factors of 719 and 724.

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 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 724.

LCM(719,724) = 22×1811×7191
LCM(719,724) = 520556

Factors of 719

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

1, 719

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Least Common Multiple of 719 and 724 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 724, than apply into the LCM equation.

GCF(719,724) = 1
LCM(719,724) = ( 719 × 724) / 1
LCM(719,724) = 520556 / 1
LCM(719,724) = 520556

Properties of LCM 719 and 724

(i) The LCM of 724 and 719 is associative

LCM of 719 and 724 = LCM of 724 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 724

Frequently Asked Questions on LCM of 719 and 724

1. What is the LCM of 719 and 724?

Answer: LCM of 719 and 724 is 520556.

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 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

4. How to Find the LCM of 719 and 724?

Answer:

Least Common Multiple of 719 and 724 = 520556

Step 1: Find the prime factorization of 719

719 = 719

Step 2: Find the prime factorization of 724

724 = 2 x 2 x 181

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

LCM = 520556 = 2 x 2 x 181 x 719

Step 4: Therefore, the least common multiple of 719 and 724 is 520556.