Least Common Multiple of 741 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 741 and 747 the smallest integer that is 184509 that is divisible by both numbers.

Least Common Multiple (LCM) of 741 and 747 is 184509.

LCM(741,747) = 184509

LCM of 741 and 747

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

LCM of:
and

Least Common Multiple of 741 and 747

LCM of 741 and 747 is 184509

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 747. First we will calculate the prime factors of 741 and 747.

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 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 741 and 747.

LCM(741,747) = 32×131×191×831
LCM(741,747) = 184509

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 747

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

1, 3, 9, 83, 249, 747

Least Common Multiple of 741 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 741 and 747, than apply into the LCM equation.

GCF(741,747) = 3
LCM(741,747) = ( 741 × 747) / 3
LCM(741,747) = 553527 / 3
LCM(741,747) = 184509

Properties of LCM 741 and 747

(i) The LCM of 747 and 741 is associative

LCM of 741 and 747 = LCM of 747 and 741

Related Least Common Multiples of 741

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 741 and 747

1. What is the LCM of 741 and 747?

Answer: LCM of 741 and 747 is 184509.

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 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 741 and 747?

Answer:

Least Common Multiple of 741 and 747 = 184509

Step 1: Find the prime factorization of 741

741 = 3 x 13 x 19

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 = 184509 = 3 x 3 x 13 x 19 x 83

Step 4: Therefore, the least common multiple of 741 and 747 is 184509.