Least Common Multiple of 714 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 714 and 716 the smallest integer that is 255612 that is divisible by both numbers.

Least Common Multiple (LCM) of 714 and 716 is 255612.

LCM(714,716) = 255612

LCM of 714 and 716

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

LCM of:
and

Least Common Multiple of 714 and 716

LCM of 714 and 716 is 255612

Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 716. First we will calculate the prime factors of 714 and 716.

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

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 714 and 716.

LCM(714,716) = 22×31×71×171×1791
LCM(714,716) = 255612

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

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 714 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 714 and 716, than apply into the LCM equation.

GCF(714,716) = 2
LCM(714,716) = ( 714 × 716) / 2
LCM(714,716) = 511224 / 2
LCM(714,716) = 255612

Properties of LCM 714 and 716

(i) The LCM of 716 and 714 is associative

LCM of 714 and 716 = LCM of 716 and 714

Related Least Common Multiples of 714

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 714 and 716

1. What is the LCM of 714 and 716?

Answer: LCM of 714 and 716 is 255612.

2. 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.

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 714 and 716?

Answer:

Least Common Multiple of 714 and 716 = 255612

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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 = 255612 = 2 x 2 x 3 x 7 x 17 x 179

Step 4: Therefore, the least common multiple of 714 and 716 is 255612.