Least Common Multiple of 734 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 734 and 738 the smallest integer that is 270846 that is divisible by both numbers.

Least Common Multiple (LCM) of 734 and 738 is 270846.

LCM(734,738) = 270846

LCM of 734 and 738

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

LCM of:
and

Least Common Multiple of 734 and 738

LCM of 734 and 738 is 270846

Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 738. First we will calculate the prime factors of 734 and 738.

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

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 734 and 738.

LCM(734,738) = 21×32×411×3671
LCM(734,738) = 270846

Factors of 734

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

1, 2, 367, 734

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 734 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 734 and 738, than apply into the LCM equation.

GCF(734,738) = 2
LCM(734,738) = ( 734 × 738) / 2
LCM(734,738) = 541692 / 2
LCM(734,738) = 270846

Properties of LCM 734 and 738

(i) The LCM of 738 and 734 is associative

LCM of 734 and 738 = LCM of 738 and 734

Related Least Common Multiples of 734

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 734 and 738

1. What is the LCM of 734 and 738?

Answer: LCM of 734 and 738 is 270846.

2. 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.

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 734 and 738?

Answer:

Least Common Multiple of 734 and 738 = 270846

Step 1: Find the prime factorization of 734

734 = 2 x 367

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 = 270846 = 2 x 3 x 3 x 41 x 367

Step 4: Therefore, the least common multiple of 734 and 738 is 270846.