Least Common Multiple of 719 and 721

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 721 the smallest integer that is 518399 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 721 is 518399.

LCM(719,721) = 518399

LCM of 719 and 721

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

LCM of:
and

Least Common Multiple of 719 and 721

LCM of 719 and 721 is 518399

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 721. First we will calculate the prime factors of 719 and 721.

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 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 721.

LCM(719,721) = 71×1031×7191
LCM(719,721) = 518399

Factors of 719

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

1, 719

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Least Common Multiple of 719 and 721 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 721, than apply into the LCM equation.

GCF(719,721) = 1
LCM(719,721) = ( 719 × 721) / 1
LCM(719,721) = 518399 / 1
LCM(719,721) = 518399

Properties of LCM 719 and 721

(i) The LCM of 721 and 719 is associative

LCM of 719 and 721 = LCM of 721 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 721

Frequently Asked Questions on LCM of 719 and 721

1. What is the LCM of 719 and 721?

Answer: LCM of 719 and 721 is 518399.

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 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the LCM of 719 and 721?

Answer:

Least Common Multiple of 719 and 721 = 518399

Step 1: Find the prime factorization of 719

719 = 719

Step 2: Find the prime factorization of 721

721 = 7 x 103

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

LCM = 518399 = 7 x 103 x 719

Step 4: Therefore, the least common multiple of 719 and 721 is 518399.