Least Common Multiple of 730 and 734

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 734 the smallest integer that is 267910 that is divisible by both numbers.

Least Common Multiple (LCM) of 730 and 734 is 267910.

LCM(730,734) = 267910

LCM of 730 and 734

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

LCM of:
and

Least Common Multiple of 730 and 734

LCM of 730 and 734 is 267910

Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 734. First we will calculate the prime factors of 730 and 734.

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 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 730 and 734.

LCM(730,734) = 21×51×731×3671
LCM(730,734) = 267910

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 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Least Common Multiple of 730 and 734 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 734, than apply into the LCM equation.

GCF(730,734) = 2
LCM(730,734) = ( 730 × 734) / 2
LCM(730,734) = 535820 / 2
LCM(730,734) = 267910

Properties of LCM 730 and 734

(i) The LCM of 734 and 730 is associative

LCM of 730 and 734 = LCM of 734 and 730

Related Least Common Multiples of 730

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 730 and 734

1. What is the LCM of 730 and 734?

Answer: LCM of 730 and 734 is 267910.

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 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

4. How to Find the LCM of 730 and 734?

Answer:

Least Common Multiple of 730 and 734 = 267910

Step 1: Find the prime factorization of 730

730 = 2 x 5 x 73

Step 2: Find the prime factorization of 734

734 = 2 x 367

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

LCM = 267910 = 2 x 5 x 73 x 367

Step 4: Therefore, the least common multiple of 730 and 734 is 267910.