Least Common Multiple of 716 and 722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 716 and 722 the smallest integer that is 258476 that is divisible by both numbers.

Least Common Multiple (LCM) of 716 and 722 is 258476.

LCM(716,722) = 258476

LCM of 716 and 722

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

LCM of:
and

Least Common Multiple of 716 and 722

LCM of 716 and 722 is 258476

Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 722. First we will calculate the prime factors of 716 and 722.

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

Prime Factorization of 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

Now multiplying the highest exponent prime factors to calculate the LCM of 716 and 722.

LCM(716,722) = 22×192×1791
LCM(716,722) = 258476

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Least Common Multiple of 716 and 722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 716 and 722, than apply into the LCM equation.

GCF(716,722) = 2
LCM(716,722) = ( 716 × 722) / 2
LCM(716,722) = 516952 / 2
LCM(716,722) = 258476

Properties of LCM 716 and 722

(i) The LCM of 722 and 716 is associative

LCM of 716 and 722 = LCM of 722 and 716

Related Least Common Multiples of 716

Related Least Common Multiples of 722

Frequently Asked Questions on LCM of 716 and 722

1. What is the LCM of 716 and 722?

Answer: LCM of 716 and 722 is 258476.

2. 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.

3. What are the Factors of 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the LCM of 716 and 722?

Answer:

Least Common Multiple of 716 and 722 = 258476

Step 1: Find the prime factorization of 716

716 = 2 x 2 x 179

Step 2: Find the prime factorization of 722

722 = 2 x 19 x 19

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

LCM = 258476 = 2 x 2 x 19 x 19 x 179

Step 4: Therefore, the least common multiple of 716 and 722 is 258476.