Least Common Multiple of 1700 and 1702

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 1702 the smallest integer that is 1446700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1700 and 1702 is 1446700.

LCM(1700,1702) = 1446700

LCM of 1700 and 1702

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

LCM of:
and

Least Common Multiple of 1700 and 1702

LCM of 1700 and 1702 is 1446700

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1702. First we will calculate the prime factors of 1700 and 1702.

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 1702


2 1702
23 851
37 37
1

Prime factors of 1702 are 2, 23,37. Prime factorization of 1702 in exponential form is:

1702 = 21×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1700 and 1702.

LCM(1700,1702) = 22×52×171×231×371
LCM(1700,1702) = 1446700

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 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1, 2, 23, 37, 46, 74, 851, 1702

Least Common Multiple of 1700 and 1702 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 1702, than apply into the LCM equation.

GCF(1700,1702) = 2
LCM(1700,1702) = ( 1700 × 1702) / 2
LCM(1700,1702) = 2893400 / 2
LCM(1700,1702) = 1446700

Properties of LCM 1700 and 1702

(i) The LCM of 1702 and 1700 is associative

LCM of 1700 and 1702 = LCM of 1702 and 1700

Related Least Common Multiples of 1700

Related Least Common Multiples of 1702

Frequently Asked Questions on LCM of 1700 and 1702

1. What is the LCM of 1700 and 1702?

Answer: LCM of 1700 and 1702 is 1446700.

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 1702?

Answer: Factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702. There are 8 integers that are factors of 1702. The greatest factor of 1702 is 1702.

4. How to Find the LCM of 1700 and 1702?

Answer:

Least Common Multiple of 1700 and 1702 = 1446700

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 1702

1702 = 2 x 23 x 37

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

LCM = 1446700 = 2 x 2 x 5 x 5 x 17 x 23 x 37

Step 4: Therefore, the least common multiple of 1700 and 1702 is 1446700.