Least Common Multiple of 736 and 741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 736 and 741 the smallest integer that is 545376 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 741 is 545376.

LCM(736,741) = 545376

LCM of 736 and 741

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

LCM of:
and

Least Common Multiple of 736 and 741

LCM of 736 and 741 is 545376

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 741. First we will calculate the prime factors of 736 and 741.

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 736 and 741.

LCM(736,741) = 25×31×131×191×231
LCM(736,741) = 545376

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Factors of 741

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

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

Least Common Multiple of 736 and 741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 736 and 741, than apply into the LCM equation.

GCF(736,741) = 1
LCM(736,741) = ( 736 × 741) / 1
LCM(736,741) = 545376 / 1
LCM(736,741) = 545376

Properties of LCM 736 and 741

(i) The LCM of 741 and 736 is associative

LCM of 736 and 741 = LCM of 741 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 741

Frequently Asked Questions on LCM of 736 and 741

1. What is the LCM of 736 and 741?

Answer: LCM of 736 and 741 is 545376.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

3. 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.

4. How to Find the LCM of 736 and 741?

Answer:

Least Common Multiple of 736 and 741 = 545376

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 741

741 = 3 x 13 x 19

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

LCM = 545376 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 736 and 741 is 545376.