Least Common Multiple of 736 and 743

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 743 the smallest integer that is 546848 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 743 is 546848.

LCM(736,743) = 546848

LCM of 736 and 743

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

LCM of:
and

Least Common Multiple of 736 and 743

LCM of 736 and 743 is 546848

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 743. First we will calculate the prime factors of 736 and 743.

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 743


743 743
1

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

743 = 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 736 and 743.

LCM(736,743) = 25×231×7431
LCM(736,743) = 546848

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 743

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

1, 743

Least Common Multiple of 736 and 743 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 743, than apply into the LCM equation.

GCF(736,743) = 1
LCM(736,743) = ( 736 × 743) / 1
LCM(736,743) = 546848 / 1
LCM(736,743) = 546848

Properties of LCM 736 and 743

(i) The LCM of 743 and 736 is associative

LCM of 736 and 743 = LCM of 743 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 743

Frequently Asked Questions on LCM of 736 and 743

1. What is the LCM of 736 and 743?

Answer: LCM of 736 and 743 is 546848.

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 743?

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

4. How to Find the LCM of 736 and 743?

Answer:

Least Common Multiple of 736 and 743 = 546848

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 743

743 = 743

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

LCM = 546848 = 2 x 2 x 2 x 2 x 2 x 23 x 743

Step 4: Therefore, the least common multiple of 736 and 743 is 546848.