Least Common Multiple of 730 and 736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 730 and 736 the smallest integer that is 268640 that is divisible by both numbers.

Least Common Multiple (LCM) of 730 and 736 is 268640.

LCM(730,736) = 268640

LCM of 730 and 736

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

LCM of:
and

Least Common Multiple of 730 and 736

LCM of 730 and 736 is 268640

Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 736. First we will calculate the prime factors of 730 and 736.

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

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

Now multiplying the highest exponent prime factors to calculate the LCM of 730 and 736.

LCM(730,736) = 25×51×231×731
LCM(730,736) = 268640

Factors of 730

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

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

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Least Common Multiple of 730 and 736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 730 and 736, than apply into the LCM equation.

GCF(730,736) = 2
LCM(730,736) = ( 730 × 736) / 2
LCM(730,736) = 537280 / 2
LCM(730,736) = 268640

Properties of LCM 730 and 736

(i) The LCM of 736 and 730 is associative

LCM of 730 and 736 = LCM of 736 and 730

Related Least Common Multiples of 730

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 730 and 736

1. What is the LCM of 730 and 736?

Answer: LCM of 730 and 736 is 268640.

2. 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.

3. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

4. How to Find the LCM of 730 and 736?

Answer:

Least Common Multiple of 730 and 736 = 268640

Step 1: Find the prime factorization of 730

730 = 2 x 5 x 73

Step 2: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 268640 = 2 x 2 x 2 x 2 x 2 x 5 x 23 x 73

Step 4: Therefore, the least common multiple of 730 and 736 is 268640.