Least Common Multiple of 730 and 738

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 738 the smallest integer that is 269370 that is divisible by both numbers.

Least Common Multiple (LCM) of 730 and 738 is 269370.

LCM(730,738) = 269370

LCM of 730 and 738

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

LCM of:
and

Least Common Multiple of 730 and 738

LCM of 730 and 738 is 269370

Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 738. First we will calculate the prime factors of 730 and 738.

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 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 730 and 738.

LCM(730,738) = 21×32×51×411×731
LCM(730,738) = 269370

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 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Least Common Multiple of 730 and 738 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 738, than apply into the LCM equation.

GCF(730,738) = 2
LCM(730,738) = ( 730 × 738) / 2
LCM(730,738) = 538740 / 2
LCM(730,738) = 269370

Properties of LCM 730 and 738

(i) The LCM of 738 and 730 is associative

LCM of 730 and 738 = LCM of 738 and 730

Related Least Common Multiples of 730

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 730 and 738

1. What is the LCM of 730 and 738?

Answer: LCM of 730 and 738 is 269370.

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 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

4. How to Find the LCM of 730 and 738?

Answer:

Least Common Multiple of 730 and 738 = 269370

Step 1: Find the prime factorization of 730

730 = 2 x 5 x 73

Step 2: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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

LCM = 269370 = 2 x 3 x 3 x 5 x 41 x 73

Step 4: Therefore, the least common multiple of 730 and 738 is 269370.