Least Common Multiple of 1703 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 1703 and 1708 the smallest integer that is 2908724 that is divisible by both numbers.

Least Common Multiple (LCM) of 1703 and 1708 is 2908724.

LCM(1703,1708) = 2908724

LCM of 1703 and 1708

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

LCM of:
and

Least Common Multiple of 1703 and 1708

LCM of 1703 and 1708 is 2908724

Least common multiple can be found by multiplying the highest exponent prime factors of 1703 and 1708. First we will calculate the prime factors of 1703 and 1708.

Prime Factorization of 1703


13 1703
131 131
1

Prime factors of 1703 are 13,131. Prime factorization of 1703 in exponential form is:

1703 = 131×1311

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 1703 and 1708.

LCM(1703,1708) = 22×71×131×611×1311
LCM(1703,1708) = 2908724

Factors of 1703

List of positive integer factors of 1703 that divides 1703 without a remainder.

1, 13, 131, 1703

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 1703 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 1703 and 1708, than apply into the LCM equation.

GCF(1703,1708) = 1
LCM(1703,1708) = ( 1703 × 1708) / 1
LCM(1703,1708) = 2908724 / 1
LCM(1703,1708) = 2908724

Properties of LCM 1703 and 1708

(i) The LCM of 1708 and 1703 is associative

LCM of 1703 and 1708 = LCM of 1708 and 1703

Related Least Common Multiples of 1703

Related Least Common Multiples of 1708

Frequently Asked Questions on LCM of 1703 and 1708

1. What is the LCM of 1703 and 1708?

Answer: LCM of 1703 and 1708 is 2908724.

2. What are the Factors of 1703?

Answer: Factors of 1703 are 1, 13, 131, 1703. There are 4 integers that are factors of 1703. The greatest factor of 1703 is 1703.

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 1703 and 1708?

Answer:

Least Common Multiple of 1703 and 1708 = 2908724

Step 1: Find the prime factorization of 1703

1703 = 13 x 131

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 = 2908724 = 2 x 2 x 7 x 13 x 61 x 131

Step 4: Therefore, the least common multiple of 1703 and 1708 is 2908724.