Least Common Multiple of 1700 and 1703

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 1703 the smallest integer that is 2895100 that is divisible by both numbers.

Least Common Multiple (LCM) of 1700 and 1703 is 2895100.

LCM(1700,1703) = 2895100

LCM of 1700 and 1703

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

LCM of:
and

Least Common Multiple of 1700 and 1703

LCM of 1700 and 1703 is 2895100

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1703. First we will calculate the prime factors of 1700 and 1703.

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 1703


13 1703
131 131
1

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

1703 = 131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1700 and 1703.

LCM(1700,1703) = 22×52×131×171×1311
LCM(1700,1703) = 2895100

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 1703

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

1, 13, 131, 1703

Least Common Multiple of 1700 and 1703 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 1703, than apply into the LCM equation.

GCF(1700,1703) = 1
LCM(1700,1703) = ( 1700 × 1703) / 1
LCM(1700,1703) = 2895100 / 1
LCM(1700,1703) = 2895100

Properties of LCM 1700 and 1703

(i) The LCM of 1703 and 1700 is associative

LCM of 1700 and 1703 = LCM of 1703 and 1700

Related Least Common Multiples of 1700

Related Least Common Multiples of 1703

Frequently Asked Questions on LCM of 1700 and 1703

1. What is the LCM of 1700 and 1703?

Answer: LCM of 1700 and 1703 is 2895100.

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 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.

4. How to Find the LCM of 1700 and 1703?

Answer:

Least Common Multiple of 1700 and 1703 = 2895100

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 1703

1703 = 13 x 131

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

LCM = 2895100 = 2 x 2 x 5 x 5 x 13 x 17 x 131

Step 4: Therefore, the least common multiple of 1700 and 1703 is 2895100.