Least Common Multiple of 734 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 734 and 742 the smallest integer that is 272314 that is divisible by both numbers.

Least Common Multiple (LCM) of 734 and 742 is 272314.

LCM(734,742) = 272314

LCM of 734 and 742

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

LCM of:
and

Least Common Multiple of 734 and 742

LCM of 734 and 742 is 272314

Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 742. First we will calculate the prime factors of 734 and 742.

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 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 734 and 742.

LCM(734,742) = 21×71×531×3671
LCM(734,742) = 272314

Factors of 734

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

1, 2, 367, 734

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 734 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 734 and 742, than apply into the LCM equation.

GCF(734,742) = 2
LCM(734,742) = ( 734 × 742) / 2
LCM(734,742) = 544628 / 2
LCM(734,742) = 272314

Properties of LCM 734 and 742

(i) The LCM of 742 and 734 is associative

LCM of 734 and 742 = LCM of 742 and 734

Related Least Common Multiples of 734

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 734 and 742

1. What is the LCM of 734 and 742?

Answer: LCM of 734 and 742 is 272314.

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 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 734 and 742?

Answer:

Least Common Multiple of 734 and 742 = 272314

Step 1: Find the prime factorization of 734

734 = 2 x 367

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 = 272314 = 2 x 7 x 53 x 367

Step 4: Therefore, the least common multiple of 734 and 742 is 272314.