Least Common Multiple of 1708 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 1708 and 1716 the smallest integer that is 732732 that is divisible by both numbers.

Least Common Multiple (LCM) of 1708 and 1716 is 732732.

LCM(1708,1716) = 732732

LCM of 1708 and 1716

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

LCM of:
and

Least Common Multiple of 1708 and 1716

LCM of 1708 and 1716 is 732732

Least common multiple can be found by multiplying the highest exponent prime factors of 1708 and 1716. First we will calculate the prime factors of 1708 and 1716.

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 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 1708 and 1716.

LCM(1708,1716) = 22×31×71×111×131×611
LCM(1708,1716) = 732732

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 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 1708 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 1708 and 1716, than apply into the LCM equation.

GCF(1708,1716) = 4
LCM(1708,1716) = ( 1708 × 1716) / 4
LCM(1708,1716) = 2930928 / 4
LCM(1708,1716) = 732732

Properties of LCM 1708 and 1716

(i) The LCM of 1716 and 1708 is associative

LCM of 1708 and 1716 = LCM of 1716 and 1708

Related Least Common Multiples of 1708

Related Least Common Multiples of 1716

Frequently Asked Questions on LCM of 1708 and 1716

1. What is the LCM of 1708 and 1716?

Answer: LCM of 1708 and 1716 is 732732.

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 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 1708 and 1716?

Answer:

Least Common Multiple of 1708 and 1716 = 732732

Step 1: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

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 = 732732 = 2 x 2 x 3 x 7 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 1708 and 1716 is 732732.