Least Common Multiple of 731 and 733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 731 and 733 the smallest integer that is 535823 that is divisible by both numbers.

Least Common Multiple (LCM) of 731 and 733 is 535823.

LCM(731,733) = 535823

LCM of 731 and 733

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

LCM of:
and

Least Common Multiple of 731 and 733

LCM of 731 and 733 is 535823

Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 733. First we will calculate the prime factors of 731 and 733.

Prime Factorization of 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Prime Factorization of 733


733 733
1

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

733 = 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 733.

LCM(731,733) = 171×431×7331
LCM(731,733) = 535823

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Factors of 733

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

1, 733

Least Common Multiple of 731 and 733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 731 and 733, than apply into the LCM equation.

GCF(731,733) = 1
LCM(731,733) = ( 731 × 733) / 1
LCM(731,733) = 535823 / 1
LCM(731,733) = 535823

Properties of LCM 731 and 733

(i) The LCM of 733 and 731 is associative

LCM of 731 and 733 = LCM of 733 and 731

Related Least Common Multiples of 731

Related Least Common Multiples of 733

Frequently Asked Questions on LCM of 731 and 733

1. What is the LCM of 731 and 733?

Answer: LCM of 731 and 733 is 535823.

2. What are the Factors of 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

3. 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.

4. How to Find the LCM of 731 and 733?

Answer:

Least Common Multiple of 731 and 733 = 535823

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 733

733 = 733

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

LCM = 535823 = 17 x 43 x 733

Step 4: Therefore, the least common multiple of 731 and 733 is 535823.