Least Common Multiple of 741 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 741 and 742 the smallest integer that is 549822 that is divisible by both numbers.

Least Common Multiple (LCM) of 741 and 742 is 549822.

LCM(741,742) = 549822

LCM of 741 and 742

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

LCM of:
and

Least Common Multiple of 741 and 742

LCM of 741 and 742 is 549822

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 742. First we will calculate the prime factors of 741 and 742.

Prime Factorization of 741


3 741
13 247
19 19
1

Prime factors of 741 are 3, 13,19. Prime factorization of 741 in exponential form is:

741 = 31×131×191

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 741 and 742.

LCM(741,742) = 21×31×71×131×191×531
LCM(741,742) = 549822

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 741 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 741 and 742, than apply into the LCM equation.

GCF(741,742) = 1
LCM(741,742) = ( 741 × 742) / 1
LCM(741,742) = 549822 / 1
LCM(741,742) = 549822

Properties of LCM 741 and 742

(i) The LCM of 742 and 741 is associative

LCM of 741 and 742 = LCM of 742 and 741

Related Least Common Multiples of 741

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 741 and 742

1. What is the LCM of 741 and 742?

Answer: LCM of 741 and 742 is 549822.

2. What are the Factors of 741?

Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.

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 741 and 742?

Answer:

Least Common Multiple of 741 and 742 = 549822

Step 1: Find the prime factorization of 741

741 = 3 x 13 x 19

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 = 549822 = 2 x 3 x 7 x 13 x 19 x 53

Step 4: Therefore, the least common multiple of 741 and 742 is 549822.