Least Common Multiple of 1708 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 1708 and 1710 the smallest integer that is 1460340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1708 and 1710 is 1460340.

LCM(1708,1710) = 1460340

LCM of 1708 and 1710

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

LCM of:
and

Least Common Multiple of 1708 and 1710

LCM of 1708 and 1710 is 1460340

Least common multiple can be found by multiplying the highest exponent prime factors of 1708 and 1710. First we will calculate the prime factors of 1708 and 1710.

Prime Factorization of 1708


2 1708
2 854
7 427
61 61
1

Prime factors of 1708 are 2, 7,61. Prime factorization of 1708 in exponential form is:

1708 = 22×71×611

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 1708 and 1710.

LCM(1708,1710) = 22×32×51×71×191×611
LCM(1708,1710) = 1460340

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708

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 1708 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 1708 and 1710, than apply into the LCM equation.

GCF(1708,1710) = 2
LCM(1708,1710) = ( 1708 × 1710) / 2
LCM(1708,1710) = 2920680 / 2
LCM(1708,1710) = 1460340

Properties of LCM 1708 and 1710

(i) The LCM of 1710 and 1708 is associative

LCM of 1708 and 1710 = LCM of 1710 and 1708

Related Least Common Multiples of 1708

Related Least Common Multiples of 1710

Frequently Asked Questions on LCM of 1708 and 1710

1. What is the LCM of 1708 and 1710?

Answer: LCM of 1708 and 1710 is 1460340.

2. What are the Factors of 1708?

Answer: Factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708. There are 12 integers that are factors of 1708. The greatest factor of 1708 is 1708.

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 1708 and 1710?

Answer:

Least Common Multiple of 1708 and 1710 = 1460340

Step 1: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

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 = 1460340 = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 61

Step 4: Therefore, the least common multiple of 1708 and 1710 is 1460340.