Least Common Multiple of 709 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 709 and 716 the smallest integer that is 507644 that is divisible by both numbers.

Least Common Multiple (LCM) of 709 and 716 is 507644.

LCM(709,716) = 507644

LCM of 709 and 716

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

LCM of:
and

Least Common Multiple of 709 and 716

LCM of 709 and 716 is 507644

Least common multiple can be found by multiplying the highest exponent prime factors of 709 and 716. First we will calculate the prime factors of 709 and 716.

Prime Factorization of 709


709 709
1

Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:

709 = 7091

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 709 and 716.

LCM(709,716) = 22×1791×7091
LCM(709,716) = 507644

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1, 709

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 709 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 709 and 716, than apply into the LCM equation.

GCF(709,716) = 1
LCM(709,716) = ( 709 × 716) / 1
LCM(709,716) = 507644 / 1
LCM(709,716) = 507644

Properties of LCM 709 and 716

(i) The LCM of 716 and 709 is associative

LCM of 709 and 716 = LCM of 716 and 709

Related Least Common Multiples of 709

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 709 and 716

1. What is the LCM of 709 and 716?

Answer: LCM of 709 and 716 is 507644.

2. What are the Factors of 709?

Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.

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 709 and 716?

Answer:

Least Common Multiple of 709 and 716 = 507644

Step 1: Find the prime factorization of 709

709 = 709

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 = 507644 = 2 x 2 x 179 x 709

Step 4: Therefore, the least common multiple of 709 and 716 is 507644.