Least Common Multiple of 1710 and 1713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1710 and 1713 the smallest integer that is 976410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1710 and 1713 is 976410.

LCM(1710,1713) = 976410

LCM of 1710 and 1713

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

LCM of:
and

Least Common Multiple of 1710 and 1713

LCM of 1710 and 1713 is 976410

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1713. First we will calculate the prime factors of 1710 and 1713.

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

Prime Factorization of 1713


3 1713
571 571
1

Prime factors of 1713 are 3,571. Prime factorization of 1713 in exponential form is:

1713 = 31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 1710 and 1713.

LCM(1710,1713) = 21×32×51×191×5711
LCM(1710,1713) = 976410

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

Factors of 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1, 3, 571, 1713

Least Common Multiple of 1710 and 1713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1710 and 1713, than apply into the LCM equation.

GCF(1710,1713) = 3
LCM(1710,1713) = ( 1710 × 1713) / 3
LCM(1710,1713) = 2929230 / 3
LCM(1710,1713) = 976410

Properties of LCM 1710 and 1713

(i) The LCM of 1713 and 1710 is associative

LCM of 1710 and 1713 = LCM of 1713 and 1710

Related Least Common Multiples of 1710

Related Least Common Multiples of 1713

Frequently Asked Questions on LCM of 1710 and 1713

1. What is the LCM of 1710 and 1713?

Answer: LCM of 1710 and 1713 is 976410.

2. 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.

3. What are the Factors of 1713?

Answer: Factors of 1713 are 1, 3, 571, 1713. There are 4 integers that are factors of 1713. The greatest factor of 1713 is 1713.

4. How to Find the LCM of 1710 and 1713?

Answer:

Least Common Multiple of 1710 and 1713 = 976410

Step 1: Find the prime factorization of 1710

1710 = 2 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 1713

1713 = 3 x 571

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

LCM = 976410 = 2 x 3 x 3 x 5 x 19 x 571

Step 4: Therefore, the least common multiple of 1710 and 1713 is 976410.