Least Common Multiple of 736 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 736 and 742 the smallest integer that is 273056 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 742 is 273056.

LCM(736,742) = 273056

LCM of 736 and 742

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

LCM of:
and

Least Common Multiple of 736 and 742

LCM of 736 and 742 is 273056

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 742. First we will calculate the prime factors of 736 and 742.

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

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 736 and 742.

LCM(736,742) = 25×71×231×531
LCM(736,742) = 273056

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 736 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 736 and 742, than apply into the LCM equation.

GCF(736,742) = 2
LCM(736,742) = ( 736 × 742) / 2
LCM(736,742) = 546112 / 2
LCM(736,742) = 273056

Properties of LCM 736 and 742

(i) The LCM of 742 and 736 is associative

LCM of 736 and 742 = LCM of 742 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 736 and 742

1. What is the LCM of 736 and 742?

Answer: LCM of 736 and 742 is 273056.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

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 736 and 742?

Answer:

Least Common Multiple of 736 and 742 = 273056

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

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 = 273056 = 2 x 2 x 2 x 2 x 2 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 736 and 742 is 273056.