Least Common Multiple of 1707 and 1710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1707 and 1710 the smallest integer that is 972990 that is divisible by both numbers.

Least Common Multiple (LCM) of 1707 and 1710 is 972990.

LCM(1707,1710) = 972990

LCM of 1707 and 1710

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

LCM of:
and

Least Common Multiple of 1707 and 1710

LCM of 1707 and 1710 is 972990

Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1710. First we will calculate the prime factors of 1707 and 1710.

Prime Factorization of 1707


3 1707
569 569
1

Prime factors of 1707 are 3,569. Prime factorization of 1707 in exponential form is:

1707 = 31×5691

Prime Factorization of 1710


2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 1710 are 2, 3, 5,19. Prime factorization of 1710 in exponential form is:

1710 = 21×32×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1707 and 1710.

LCM(1707,1710) = 21×32×51×191×5691
LCM(1707,1710) = 972990

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1, 3, 569, 1707

Factors of 1710

List of positive integer factors of 1710 that divides 1710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710

Least Common Multiple of 1707 and 1710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1707 and 1710, than apply into the LCM equation.

GCF(1707,1710) = 3
LCM(1707,1710) = ( 1707 × 1710) / 3
LCM(1707,1710) = 2918970 / 3
LCM(1707,1710) = 972990

Properties of LCM 1707 and 1710

(i) The LCM of 1710 and 1707 is associative

LCM of 1707 and 1710 = LCM of 1710 and 1707

Related Least Common Multiples of 1707

Related Least Common Multiples of 1710

Frequently Asked Questions on LCM of 1707 and 1710

1. What is the LCM of 1707 and 1710?

Answer: LCM of 1707 and 1710 is 972990.

2. What are the Factors of 1707?

Answer: Factors of 1707 are 1, 3, 569, 1707. There are 4 integers that are factors of 1707. The greatest factor of 1707 is 1707.

3. What are the Factors of 1710?

Answer: Factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710. There are 24 integers that are factors of 1710. The greatest factor of 1710 is 1710.

4. How to Find the LCM of 1707 and 1710?

Answer:

Least Common Multiple of 1707 and 1710 = 972990

Step 1: Find the prime factorization of 1707

1707 = 3 x 569

Step 2: Find the prime factorization of 1710

1710 = 2 x 3 x 3 x 5 x 19

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

LCM = 972990 = 2 x 3 x 3 x 5 x 19 x 569

Step 4: Therefore, the least common multiple of 1707 and 1710 is 972990.