Least Common Multiple of 1697 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 1697 and 1703 the smallest integer that is 2889991 that is divisible by both numbers.

Least Common Multiple (LCM) of 1697 and 1703 is 2889991.

LCM(1697,1703) = 2889991

LCM of 1697 and 1703

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

LCM of:
and

Least Common Multiple of 1697 and 1703

LCM of 1697 and 1703 is 2889991

Least common multiple can be found by multiplying the highest exponent prime factors of 1697 and 1703. First we will calculate the prime factors of 1697 and 1703.

Prime Factorization of 1697


1697 1697
1

Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:

1697 = 16971

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 1697 and 1703.

LCM(1697,1703) = 131×1311×16971
LCM(1697,1703) = 2889991

Factors of 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1, 1697

Factors of 1703

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

1, 13, 131, 1703

Least Common Multiple of 1697 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 1697 and 1703, than apply into the LCM equation.

GCF(1697,1703) = 1
LCM(1697,1703) = ( 1697 × 1703) / 1
LCM(1697,1703) = 2889991 / 1
LCM(1697,1703) = 2889991

Properties of LCM 1697 and 1703

(i) The LCM of 1703 and 1697 is associative

LCM of 1697 and 1703 = LCM of 1703 and 1697

Related Least Common Multiples of 1697

Related Least Common Multiples of 1703

Frequently Asked Questions on LCM of 1697 and 1703

1. What is the LCM of 1697 and 1703?

Answer: LCM of 1697 and 1703 is 2889991.

2. What are the Factors of 1697?

Answer: Factors of 1697 are 1, 1697. There are 2 integers that are factors of 1697. The greatest factor of 1697 is 1697.

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 1697 and 1703?

Answer:

Least Common Multiple of 1697 and 1703 = 2889991

Step 1: Find the prime factorization of 1697

1697 = 1697

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 = 2889991 = 13 x 131 x 1697

Step 4: Therefore, the least common multiple of 1697 and 1703 is 2889991.