Least Common Multiple of 716 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 716 and 721 the smallest integer that is 516236 that is divisible by both numbers.

Least Common Multiple (LCM) of 716 and 721 is 516236.

LCM(716,721) = 516236

LCM of 716 and 721

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

LCM of:
and

Least Common Multiple of 716 and 721

LCM of 716 and 721 is 516236

Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 721. First we will calculate the prime factors of 716 and 721.

Prime Factorization of 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

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 716 and 721.

LCM(716,721) = 22×71×1031×1791
LCM(716,721) = 516236

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Factors of 721

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

1, 7, 103, 721

Least Common Multiple of 716 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 716 and 721, than apply into the LCM equation.

GCF(716,721) = 1
LCM(716,721) = ( 716 × 721) / 1
LCM(716,721) = 516236 / 1
LCM(716,721) = 516236

Properties of LCM 716 and 721

(i) The LCM of 721 and 716 is associative

LCM of 716 and 721 = LCM of 721 and 716

Related Least Common Multiples of 716

Related Least Common Multiples of 721

Frequently Asked Questions on LCM of 716 and 721

1. What is the LCM of 716 and 721?

Answer: LCM of 716 and 721 is 516236.

2. What are the Factors of 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

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 716 and 721?

Answer:

Least Common Multiple of 716 and 721 = 516236

Step 1: Find the prime factorization of 716

716 = 2 x 2 x 179

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 = 516236 = 2 x 2 x 7 x 103 x 179

Step 4: Therefore, the least common multiple of 716 and 721 is 516236.