Least Common Multiple of 1710 and 1716

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 1716 the smallest integer that is 489060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1710 and 1716 is 489060.

LCM(1710,1716) = 489060

LCM of 1710 and 1716

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

LCM of:
and

Least Common Multiple of 1710 and 1716

LCM of 1710 and 1716 is 489060

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1716. First we will calculate the prime factors of 1710 and 1716.

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 1716


2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 1716 are 2, 3, 11,13. Prime factorization of 1716 in exponential form is:

1716 = 22×31×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1710 and 1716.

LCM(1710,1716) = 22×32×51×111×131×191
LCM(1710,1716) = 489060

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 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716

Least Common Multiple of 1710 and 1716 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 1716, than apply into the LCM equation.

GCF(1710,1716) = 6
LCM(1710,1716) = ( 1710 × 1716) / 6
LCM(1710,1716) = 2934360 / 6
LCM(1710,1716) = 489060

Properties of LCM 1710 and 1716

(i) The LCM of 1716 and 1710 is associative

LCM of 1710 and 1716 = LCM of 1716 and 1710

Related Least Common Multiples of 1710

Related Least Common Multiples of 1716

Frequently Asked Questions on LCM of 1710 and 1716

1. What is the LCM of 1710 and 1716?

Answer: LCM of 1710 and 1716 is 489060.

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 1716?

Answer: Factors of 1716 are 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716. There are 24 integers that are factors of 1716. The greatest factor of 1716 is 1716.

4. How to Find the LCM of 1710 and 1716?

Answer:

Least Common Multiple of 1710 and 1716 = 489060

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 1716

1716 = 2 x 2 x 3 x 11 x 13

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

LCM = 489060 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 1710 and 1716 is 489060.