Least Common Multiple of 738 and 742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 738 and 742 the smallest integer that is 273798 that is divisible by both numbers.

Least Common Multiple (LCM) of 738 and 742 is 273798.

LCM(738,742) = 273798

LCM of 738 and 742

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

LCM of:
and

Least Common Multiple of 738 and 742

LCM of 738 and 742 is 273798

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 742. First we will calculate the prime factors of 738 and 742.

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

Prime Factorization of 742


2 742
7 371
53 53
1

Prime factors of 742 are 2, 7,53. Prime factorization of 742 in exponential form is:

742 = 21×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 742.

LCM(738,742) = 21×32×71×411×531
LCM(738,742) = 273798

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

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Least Common Multiple of 738 and 742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 742, than apply into the LCM equation.

GCF(738,742) = 2
LCM(738,742) = ( 738 × 742) / 2
LCM(738,742) = 547596 / 2
LCM(738,742) = 273798

Properties of LCM 738 and 742

(i) The LCM of 742 and 738 is associative

LCM of 738 and 742 = LCM of 742 and 738

Related Least Common Multiples of 738

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 738 and 742

1. What is the LCM of 738 and 742?

Answer: LCM of 738 and 742 is 273798.

2. 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.

3. What are the Factors of 742?

Answer: Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. There are 8 integers that are factors of 742. The greatest factor of 742 is 742.

4. How to Find the LCM of 738 and 742?

Answer:

Least Common Multiple of 738 and 742 = 273798

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 742

742 = 2 x 7 x 53

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

LCM = 273798 = 2 x 3 x 3 x 7 x 41 x 53

Step 4: Therefore, the least common multiple of 738 and 742 is 273798.