Least Common Multiple of 1700 and 1705

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 1705 the smallest integer that is 579700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1700 and 1705 is 579700.

LCM(1700,1705) = 579700

LCM of 1700 and 1705

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

LCM of:
and

Least Common Multiple of 1700 and 1705

LCM of 1700 and 1705 is 579700

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1705. First we will calculate the prime factors of 1700 and 1705.

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 1705


5 1705
11 341
31 31
1

Prime factors of 1705 are 5, 11,31. Prime factorization of 1705 in exponential form is:

1705 = 51×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1700 and 1705.

LCM(1700,1705) = 22×52×111×171×311
LCM(1700,1705) = 579700

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 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1, 5, 11, 31, 55, 155, 341, 1705

Least Common Multiple of 1700 and 1705 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 1705, than apply into the LCM equation.

GCF(1700,1705) = 5
LCM(1700,1705) = ( 1700 × 1705) / 5
LCM(1700,1705) = 2898500 / 5
LCM(1700,1705) = 579700

Properties of LCM 1700 and 1705

(i) The LCM of 1705 and 1700 is associative

LCM of 1700 and 1705 = LCM of 1705 and 1700

Related Least Common Multiples of 1700

Related Least Common Multiples of 1705

Frequently Asked Questions on LCM of 1700 and 1705

1. What is the LCM of 1700 and 1705?

Answer: LCM of 1700 and 1705 is 579700.

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 1705?

Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.

4. How to Find the LCM of 1700 and 1705?

Answer:

Least Common Multiple of 1700 and 1705 = 579700

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 1705

1705 = 5 x 11 x 31

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

LCM = 579700 = 2 x 2 x 5 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 1700 and 1705 is 579700.