Least Common Multiple of 731 and 739

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 739 the smallest integer that is 540209 that is divisible by both numbers.

Least Common Multiple (LCM) of 731 and 739 is 540209.

LCM(731,739) = 540209

LCM of 731 and 739

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

LCM of:
and

Least Common Multiple of 731 and 739

LCM of 731 and 739 is 540209

Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 739. First we will calculate the prime factors of 731 and 739.

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 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 739.

LCM(731,739) = 171×431×7391
LCM(731,739) = 540209

Factors of 731

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

1, 17, 43, 731

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1, 739

Least Common Multiple of 731 and 739 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 739, than apply into the LCM equation.

GCF(731,739) = 1
LCM(731,739) = ( 731 × 739) / 1
LCM(731,739) = 540209 / 1
LCM(731,739) = 540209

Properties of LCM 731 and 739

(i) The LCM of 739 and 731 is associative

LCM of 731 and 739 = LCM of 739 and 731

Related Least Common Multiples of 731

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 731 and 739

1. What is the LCM of 731 and 739?

Answer: LCM of 731 and 739 is 540209.

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 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the LCM of 731 and 739?

Answer:

Least Common Multiple of 731 and 739 = 540209

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 739

739 = 739

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

LCM = 540209 = 17 x 43 x 739

Step 4: Therefore, the least common multiple of 731 and 739 is 540209.