Least Common Multiple of 708 and 713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 708 and 713 the smallest integer that is 504804 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 713 is 504804.

LCM(708,713) = 504804

LCM of 708 and 713

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

LCM of:
and

Least Common Multiple of 708 and 713

LCM of 708 and 713 is 504804

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 713. First we will calculate the prime factors of 708 and 713.

Prime Factorization of 708


2 708
2 354
3 177
59 59
1

Prime factors of 708 are 2, 3,59. Prime factorization of 708 in exponential form is:

708 = 22×31×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 713.

LCM(708,713) = 22×31×231×311×591
LCM(708,713) = 504804

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Factors of 713

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

1, 23, 31, 713

Least Common Multiple of 708 and 713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 708 and 713, than apply into the LCM equation.

GCF(708,713) = 1
LCM(708,713) = ( 708 × 713) / 1
LCM(708,713) = 504804 / 1
LCM(708,713) = 504804

Properties of LCM 708 and 713

(i) The LCM of 713 and 708 is associative

LCM of 708 and 713 = LCM of 713 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 713

Frequently Asked Questions on LCM of 708 and 713

1. What is the LCM of 708 and 713?

Answer: LCM of 708 and 713 is 504804.

2. What are the Factors of 708?

Answer: Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. There are 12 integers that are factors of 708. The greatest factor of 708 is 708.

3. 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.

4. How to Find the LCM of 708 and 713?

Answer:

Least Common Multiple of 708 and 713 = 504804

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 713

713 = 23 x 31

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

LCM = 504804 = 2 x 2 x 3 x 23 x 31 x 59

Step 4: Therefore, the least common multiple of 708 and 713 is 504804.