Least Common Multiple of 722 and 730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 722 and 730 the smallest integer that is 263530 that is divisible by both numbers.

Least Common Multiple (LCM) of 722 and 730 is 263530.

LCM(722,730) = 263530

LCM of 722 and 730

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

LCM of:
and

Least Common Multiple of 722 and 730

LCM of 722 and 730 is 263530

Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 730. First we will calculate the prime factors of 722 and 730.

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

Prime Factorization of 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 722 and 730.

LCM(722,730) = 21×51×192×731
LCM(722,730) = 263530

Factors of 722

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

1, 2, 19, 38, 361, 722

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Least Common Multiple of 722 and 730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 722 and 730, than apply into the LCM equation.

GCF(722,730) = 2
LCM(722,730) = ( 722 × 730) / 2
LCM(722,730) = 527060 / 2
LCM(722,730) = 263530

Properties of LCM 722 and 730

(i) The LCM of 730 and 722 is associative

LCM of 722 and 730 = LCM of 730 and 722

Related Least Common Multiples of 722

Related Least Common Multiples of 730

Frequently Asked Questions on LCM of 722 and 730

1. What is the LCM of 722 and 730?

Answer: LCM of 722 and 730 is 263530.

2. 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.

3. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the LCM of 722 and 730?

Answer:

Least Common Multiple of 722 and 730 = 263530

Step 1: Find the prime factorization of 722

722 = 2 x 19 x 19

Step 2: Find the prime factorization of 730

730 = 2 x 5 x 73

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

LCM = 263530 = 2 x 5 x 19 x 19 x 73

Step 4: Therefore, the least common multiple of 722 and 730 is 263530.