Least Common Multiple of 1707 and 1708

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 1708 the smallest integer that is 2915556 that is divisible by both numbers.

Least Common Multiple (LCM) of 1707 and 1708 is 2915556.

LCM(1707,1708) = 2915556

LCM of 1707 and 1708

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

LCM of:
and

Least Common Multiple of 1707 and 1708

LCM of 1707 and 1708 is 2915556

Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1708. First we will calculate the prime factors of 1707 and 1708.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1707 and 1708.

LCM(1707,1708) = 22×31×71×611×5691
LCM(1707,1708) = 2915556

Factors of 1707

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

1, 3, 569, 1707

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

Least Common Multiple of 1707 and 1708 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 1708, than apply into the LCM equation.

GCF(1707,1708) = 1
LCM(1707,1708) = ( 1707 × 1708) / 1
LCM(1707,1708) = 2915556 / 1
LCM(1707,1708) = 2915556

Properties of LCM 1707 and 1708

(i) The LCM of 1708 and 1707 is associative

LCM of 1707 and 1708 = LCM of 1708 and 1707

Related Least Common Multiples of 1707

Related Least Common Multiples of 1708

Frequently Asked Questions on LCM of 1707 and 1708

1. What is the LCM of 1707 and 1708?

Answer: LCM of 1707 and 1708 is 2915556.

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 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.

4. How to Find the LCM of 1707 and 1708?

Answer:

Least Common Multiple of 1707 and 1708 = 2915556

Step 1: Find the prime factorization of 1707

1707 = 3 x 569

Step 2: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

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

LCM = 2915556 = 2 x 2 x 3 x 7 x 61 x 569

Step 4: Therefore, the least common multiple of 1707 and 1708 is 2915556.