Least Common Multiple of 713 and 714

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 714 the smallest integer that is 509082 that is divisible by both numbers.

Least Common Multiple (LCM) of 713 and 714 is 509082.

LCM(713,714) = 509082

LCM of 713 and 714

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

LCM of:
and

Least Common Multiple of 713 and 714

LCM of 713 and 714 is 509082

Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 714. First we will calculate the prime factors of 713 and 714.

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 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 714.

LCM(713,714) = 21×31×71×171×231×311
LCM(713,714) = 509082

Factors of 713

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

1, 23, 31, 713

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Least Common Multiple of 713 and 714 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 714, than apply into the LCM equation.

GCF(713,714) = 1
LCM(713,714) = ( 713 × 714) / 1
LCM(713,714) = 509082 / 1
LCM(713,714) = 509082

Properties of LCM 713 and 714

(i) The LCM of 714 and 713 is associative

LCM of 713 and 714 = LCM of 714 and 713

Related Least Common Multiples of 713

Related Least Common Multiples of 714

Frequently Asked Questions on LCM of 713 and 714

1. What is the LCM of 713 and 714?

Answer: LCM of 713 and 714 is 509082.

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 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

4. How to Find the LCM of 713 and 714?

Answer:

Least Common Multiple of 713 and 714 = 509082

Step 1: Find the prime factorization of 713

713 = 23 x 31

Step 2: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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

LCM = 509082 = 2 x 3 x 7 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 713 and 714 is 509082.