Least Common Multiple of 713 and 716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 713 and 716 the smallest integer that is 510508 that is divisible by both numbers.

Least Common Multiple (LCM) of 713 and 716 is 510508.

LCM(713,716) = 510508

LCM of 713 and 716

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

LCM of:
and

Least Common Multiple of 713 and 716

LCM of 713 and 716 is 510508

Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 716. First we will calculate the prime factors of 713 and 716.

Prime Factorization of 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 716.

LCM(713,716) = 22×231×311×1791
LCM(713,716) = 510508

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Factors of 716

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

1, 2, 4, 179, 358, 716

Least Common Multiple of 713 and 716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 713 and 716, than apply into the LCM equation.

GCF(713,716) = 1
LCM(713,716) = ( 713 × 716) / 1
LCM(713,716) = 510508 / 1
LCM(713,716) = 510508

Properties of LCM 713 and 716

(i) The LCM of 716 and 713 is associative

LCM of 713 and 716 = LCM of 716 and 713

Related Least Common Multiples of 713

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 713 and 716

1. What is the LCM of 713 and 716?

Answer: LCM of 713 and 716 is 510508.

2. What are the Factors of 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

3. 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.

4. How to Find the LCM of 713 and 716?

Answer:

Least Common Multiple of 713 and 716 = 510508

Step 1: Find the prime factorization of 713

713 = 23 x 31

Step 2: Find the prime factorization of 716

716 = 2 x 2 x 179

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

LCM = 510508 = 2 x 2 x 23 x 31 x 179

Step 4: Therefore, the least common multiple of 713 and 716 is 510508.