Least Common Multiple of 1731 and 1738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1731 and 1738 the smallest integer that is 3008478 that is divisible by both numbers.

Least Common Multiple (LCM) of 1731 and 1738 is 3008478.

LCM(1731,1738) = 3008478

LCM of 1731 and 1738

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

LCM of:
and

Least Common Multiple of 1731 and 1738

LCM of 1731 and 1738 is 3008478

Least common multiple can be found by multiplying the highest exponent prime factors of 1731 and 1738. First we will calculate the prime factors of 1731 and 1738.

Prime Factorization of 1731


3 1731
577 577
1

Prime factors of 1731 are 3,577. Prime factorization of 1731 in exponential form is:

1731 = 31×5771

Prime Factorization of 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1731 and 1738.

LCM(1731,1738) = 21×31×111×791×5771
LCM(1731,1738) = 3008478

Factors of 1731

List of positive integer factors of 1731 that divides 1731 without a remainder.

1, 3, 577, 1731

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1, 2, 11, 22, 79, 158, 869, 1738

Least Common Multiple of 1731 and 1738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1731 and 1738, than apply into the LCM equation.

GCF(1731,1738) = 1
LCM(1731,1738) = ( 1731 × 1738) / 1
LCM(1731,1738) = 3008478 / 1
LCM(1731,1738) = 3008478

Properties of LCM 1731 and 1738

(i) The LCM of 1738 and 1731 is associative

LCM of 1731 and 1738 = LCM of 1738 and 1731

Related Least Common Multiples of 1731

Related Least Common Multiples of 1738

Frequently Asked Questions on LCM of 1731 and 1738

1. What is the LCM of 1731 and 1738?

Answer: LCM of 1731 and 1738 is 3008478.

2. What are the Factors of 1731?

Answer: Factors of 1731 are 1, 3, 577, 1731. There are 4 integers that are factors of 1731. The greatest factor of 1731 is 1731.

3. What are the Factors of 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

4. How to Find the LCM of 1731 and 1738?

Answer:

Least Common Multiple of 1731 and 1738 = 3008478

Step 1: Find the prime factorization of 1731

1731 = 3 x 577

Step 2: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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

LCM = 3008478 = 2 x 3 x 11 x 79 x 577

Step 4: Therefore, the least common multiple of 1731 and 1738 is 3008478.