Least Common Multiple of 1708 and 1713

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 1713 the smallest integer that is 2925804 that is divisible by both numbers.

Least Common Multiple (LCM) of 1708 and 1713 is 2925804.

LCM(1708,1713) = 2925804

LCM of 1708 and 1713

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

LCM of:
and

Least Common Multiple of 1708 and 1713

LCM of 1708 and 1713 is 2925804

Least common multiple can be found by multiplying the highest exponent prime factors of 1708 and 1713. First we will calculate the prime factors of 1708 and 1713.

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 1713


3 1713
571 571
1

Prime factors of 1713 are 3,571. Prime factorization of 1713 in exponential form is:

1713 = 31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 1708 and 1713.

LCM(1708,1713) = 22×31×71×611×5711
LCM(1708,1713) = 2925804

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 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1, 3, 571, 1713

Least Common Multiple of 1708 and 1713 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 1713, than apply into the LCM equation.

GCF(1708,1713) = 1
LCM(1708,1713) = ( 1708 × 1713) / 1
LCM(1708,1713) = 2925804 / 1
LCM(1708,1713) = 2925804

Properties of LCM 1708 and 1713

(i) The LCM of 1713 and 1708 is associative

LCM of 1708 and 1713 = LCM of 1713 and 1708

Related Least Common Multiples of 1708

Related Least Common Multiples of 1713

Frequently Asked Questions on LCM of 1708 and 1713

1. What is the LCM of 1708 and 1713?

Answer: LCM of 1708 and 1713 is 2925804.

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 1713?

Answer: Factors of 1713 are 1, 3, 571, 1713. There are 4 integers that are factors of 1713. The greatest factor of 1713 is 1713.

4. How to Find the LCM of 1708 and 1713?

Answer:

Least Common Multiple of 1708 and 1713 = 2925804

Step 1: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

Step 2: Find the prime factorization of 1713

1713 = 3 x 571

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

LCM = 2925804 = 2 x 2 x 3 x 7 x 61 x 571

Step 4: Therefore, the least common multiple of 1708 and 1713 is 2925804.