Least Common Multiple of 743 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 743 and 744 the smallest integer that is 552792 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 744 is 552792.

LCM(743,744) = 552792

LCM of 743 and 744

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

LCM of:
and

Least Common Multiple of 743 and 744

LCM of 743 and 744 is 552792

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 744. First we will calculate the prime factors of 743 and 744.

Prime Factorization of 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

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 743 and 744.

LCM(743,744) = 23×31×311×7431
LCM(743,744) = 552792

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

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 743 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 743 and 744, than apply into the LCM equation.

GCF(743,744) = 1
LCM(743,744) = ( 743 × 744) / 1
LCM(743,744) = 552792 / 1
LCM(743,744) = 552792

Properties of LCM 743 and 744

(i) The LCM of 744 and 743 is associative

LCM of 743 and 744 = LCM of 744 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 743 and 744

1. What is the LCM of 743 and 744?

Answer: LCM of 743 and 744 is 552792.

2. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

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 743 and 744?

Answer:

Least Common Multiple of 743 and 744 = 552792

Step 1: Find the prime factorization of 743

743 = 743

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 = 552792 = 2 x 2 x 2 x 3 x 31 x 743

Step 4: Therefore, the least common multiple of 743 and 744 is 552792.