Least Common Multiple of 733 and 736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 733 and 736 the smallest integer that is 539488 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 736 is 539488.

LCM(733,736) = 539488

LCM of 733 and 736

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

LCM of:
and

Least Common Multiple of 733 and 736

LCM of 733 and 736 is 539488

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 736. First we will calculate the prime factors of 733 and 736.

Prime Factorization of 733


733 733
1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 733 and 736.

LCM(733,736) = 25×231×7331
LCM(733,736) = 539488

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1, 733

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

Least Common Multiple of 733 and 736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 733 and 736, than apply into the LCM equation.

GCF(733,736) = 1
LCM(733,736) = ( 733 × 736) / 1
LCM(733,736) = 539488 / 1
LCM(733,736) = 539488

Properties of LCM 733 and 736

(i) The LCM of 736 and 733 is associative

LCM of 733 and 736 = LCM of 736 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 733 and 736

1. What is the LCM of 733 and 736?

Answer: LCM of 733 and 736 is 539488.

2. What are the Factors of 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

3. 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.

4. How to Find the LCM of 733 and 736?

Answer:

Least Common Multiple of 733 and 736 = 539488

Step 1: Find the prime factorization of 733

733 = 733

Step 2: Find the prime factorization of 736

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

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

LCM = 539488 = 2 x 2 x 2 x 2 x 2 x 23 x 733

Step 4: Therefore, the least common multiple of 733 and 736 is 539488.