Least Common Multiple of 743 and 747

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 747 the smallest integer that is 555021 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 747 is 555021.

LCM(743,747) = 555021

LCM of 743 and 747

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

LCM of:
and

Least Common Multiple of 743 and 747

LCM of 743 and 747 is 555021

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 747. First we will calculate the prime factors of 743 and 747.

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 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 747.

LCM(743,747) = 32×831×7431
LCM(743,747) = 555021

Factors of 743

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

1, 743

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Least Common Multiple of 743 and 747 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 747, than apply into the LCM equation.

GCF(743,747) = 1
LCM(743,747) = ( 743 × 747) / 1
LCM(743,747) = 555021 / 1
LCM(743,747) = 555021

Properties of LCM 743 and 747

(i) The LCM of 747 and 743 is associative

LCM of 743 and 747 = LCM of 747 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 743 and 747

1. What is the LCM of 743 and 747?

Answer: LCM of 743 and 747 is 555021.

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 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

4. How to Find the LCM of 743 and 747?

Answer:

Least Common Multiple of 743 and 747 = 555021

Step 1: Find the prime factorization of 743

743 = 743

Step 2: Find the prime factorization of 747

747 = 3 x 3 x 83

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

LCM = 555021 = 3 x 3 x 83 x 743

Step 4: Therefore, the least common multiple of 743 and 747 is 555021.