Least Common Multiple of 1700 and 1706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1700 and 1706 the smallest integer that is 1450100 that is divisible by both numbers.

Least Common Multiple (LCM) of 1700 and 1706 is 1450100.

LCM(1700,1706) = 1450100

LCM of 1700 and 1706

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

LCM of:
and

Least Common Multiple of 1700 and 1706

LCM of 1700 and 1706 is 1450100

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1706. First we will calculate the prime factors of 1700 and 1706.

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2, 5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

Prime Factorization of 1706


2 1706
853 853
1

Prime factors of 1706 are 2,853. Prime factorization of 1706 in exponential form is:

1706 = 21×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 1700 and 1706.

LCM(1700,1706) = 22×52×171×8531
LCM(1700,1706) = 1450100

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700

Factors of 1706

List of positive integer factors of 1706 that divides 1706 without a remainder.

1, 2, 853, 1706

Least Common Multiple of 1700 and 1706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1700 and 1706, than apply into the LCM equation.

GCF(1700,1706) = 2
LCM(1700,1706) = ( 1700 × 1706) / 2
LCM(1700,1706) = 2900200 / 2
LCM(1700,1706) = 1450100

Properties of LCM 1700 and 1706

(i) The LCM of 1706 and 1700 is associative

LCM of 1700 and 1706 = LCM of 1706 and 1700

Related Least Common Multiples of 1700

Related Least Common Multiples of 1706

Frequently Asked Questions on LCM of 1700 and 1706

1. What is the LCM of 1700 and 1706?

Answer: LCM of 1700 and 1706 is 1450100.

2. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

3. What are the Factors of 1706?

Answer: Factors of 1706 are 1, 2, 853, 1706. There are 4 integers that are factors of 1706. The greatest factor of 1706 is 1706.

4. How to Find the LCM of 1700 and 1706?

Answer:

Least Common Multiple of 1700 and 1706 = 1450100

Step 1: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 1706

1706 = 2 x 853

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

LCM = 1450100 = 2 x 2 x 5 x 5 x 17 x 853

Step 4: Therefore, the least common multiple of 1700 and 1706 is 1450100.