Least Common Multiple of 711 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 711 and 716 the smallest integer that is 509076 that is divisible by both numbers.

Least Common Multiple (LCM) of 711 and 716 is 509076.

LCM(711,716) = 509076

LCM of 711 and 716

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

LCM of:
and

Least Common Multiple of 711 and 716

LCM of 711 and 716 is 509076

Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 716. First we will calculate the prime factors of 711 and 716.

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

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 711 and 716.

LCM(711,716) = 22×32×791×1791
LCM(711,716) = 509076

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

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 711 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 711 and 716, than apply into the LCM equation.

GCF(711,716) = 1
LCM(711,716) = ( 711 × 716) / 1
LCM(711,716) = 509076 / 1
LCM(711,716) = 509076

Properties of LCM 711 and 716

(i) The LCM of 716 and 711 is associative

LCM of 711 and 716 = LCM of 716 and 711

Related Least Common Multiples of 711

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 711 and 716

1. What is the LCM of 711 and 716?

Answer: LCM of 711 and 716 is 509076.

2. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

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 711 and 716?

Answer:

Least Common Multiple of 711 and 716 = 509076

Step 1: Find the prime factorization of 711

711 = 3 x 3 x 79

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 = 509076 = 2 x 2 x 3 x 3 x 79 x 179

Step 4: Therefore, the least common multiple of 711 and 716 is 509076.