Least Common Multiple of 1731 and 1737

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 1737 the smallest integer that is 1002249 that is divisible by both numbers.

Least Common Multiple (LCM) of 1731 and 1737 is 1002249.

LCM(1731,1737) = 1002249

LCM of 1731 and 1737

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

LCM of:
and

Least Common Multiple of 1731 and 1737

LCM of 1731 and 1737 is 1002249

Least common multiple can be found by multiplying the highest exponent prime factors of 1731 and 1737. First we will calculate the prime factors of 1731 and 1737.

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 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1731 and 1737.

LCM(1731,1737) = 32×1931×5771
LCM(1731,1737) = 1002249

Factors of 1731

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

1, 3, 577, 1731

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

Least Common Multiple of 1731 and 1737 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 1737, than apply into the LCM equation.

GCF(1731,1737) = 3
LCM(1731,1737) = ( 1731 × 1737) / 3
LCM(1731,1737) = 3006747 / 3
LCM(1731,1737) = 1002249

Properties of LCM 1731 and 1737

(i) The LCM of 1737 and 1731 is associative

LCM of 1731 and 1737 = LCM of 1737 and 1731

Related Least Common Multiples of 1731

Related Least Common Multiples of 1737

Frequently Asked Questions on LCM of 1731 and 1737

1. What is the LCM of 1731 and 1737?

Answer: LCM of 1731 and 1737 is 1002249.

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 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

4. How to Find the LCM of 1731 and 1737?

Answer:

Least Common Multiple of 1731 and 1737 = 1002249

Step 1: Find the prime factorization of 1731

1731 = 3 x 577

Step 2: Find the prime factorization of 1737

1737 = 3 x 3 x 193

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

LCM = 1002249 = 3 x 3 x 193 x 577

Step 4: Therefore, the least common multiple of 1731 and 1737 is 1002249.