Least Common Multiple of 741 and 744

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 744 the smallest integer that is 183768 that is divisible by both numbers.

Least Common Multiple (LCM) of 741 and 744 is 183768.

LCM(741,744) = 183768

LCM of 741 and 744

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

LCM of:
and

Least Common Multiple of 741 and 744

LCM of 741 and 744 is 183768

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 744. First we will calculate the prime factors of 741 and 744.

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 744


2 744
2 372
2 186
3 93
31 31
1

Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:

744 = 23×31×311

Now multiplying the highest exponent prime factors to calculate the LCM of 741 and 744.

LCM(741,744) = 23×31×131×191×311
LCM(741,744) = 183768

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 744

List of positive integer factors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Least Common Multiple of 741 and 744 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 744, than apply into the LCM equation.

GCF(741,744) = 3
LCM(741,744) = ( 741 × 744) / 3
LCM(741,744) = 551304 / 3
LCM(741,744) = 183768

Properties of LCM 741 and 744

(i) The LCM of 744 and 741 is associative

LCM of 741 and 744 = LCM of 744 and 741

Related Least Common Multiples of 741

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 741 and 744

1. What is the LCM of 741 and 744?

Answer: LCM of 741 and 744 is 183768.

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 744?

Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.

4. How to Find the LCM of 741 and 744?

Answer:

Least Common Multiple of 741 and 744 = 183768

Step 1: Find the prime factorization of 741

741 = 3 x 13 x 19

Step 2: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

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

LCM = 183768 = 2 x 2 x 2 x 3 x 13 x 19 x 31

Step 4: Therefore, the least common multiple of 741 and 744 is 183768.