Least Common Multiple of 1698 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 1698 and 1703 the smallest integer that is 2891694 that is divisible by both numbers.

Least Common Multiple (LCM) of 1698 and 1703 is 2891694.

LCM(1698,1703) = 2891694

LCM of 1698 and 1703

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

LCM of:
and

Least Common Multiple of 1698 and 1703

LCM of 1698 and 1703 is 2891694

Least common multiple can be found by multiplying the highest exponent prime factors of 1698 and 1703. First we will calculate the prime factors of 1698 and 1703.

Prime Factorization of 1698


2 1698
3 849
283 283
1

Prime factors of 1698 are 2, 3,283. Prime factorization of 1698 in exponential form is:

1698 = 21×31×2831

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 1698 and 1703.

LCM(1698,1703) = 21×31×131×1311×2831
LCM(1698,1703) = 2891694

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1, 2, 3, 6, 283, 566, 849, 1698

Factors of 1703

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

1, 13, 131, 1703

Least Common Multiple of 1698 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 1698 and 1703, than apply into the LCM equation.

GCF(1698,1703) = 1
LCM(1698,1703) = ( 1698 × 1703) / 1
LCM(1698,1703) = 2891694 / 1
LCM(1698,1703) = 2891694

Properties of LCM 1698 and 1703

(i) The LCM of 1703 and 1698 is associative

LCM of 1698 and 1703 = LCM of 1703 and 1698

Related Least Common Multiples of 1698

Related Least Common Multiples of 1703

Frequently Asked Questions on LCM of 1698 and 1703

1. What is the LCM of 1698 and 1703?

Answer: LCM of 1698 and 1703 is 2891694.

2. What are the Factors of 1698?

Answer: Factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698. There are 8 integers that are factors of 1698. The greatest factor of 1698 is 1698.

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 1698 and 1703?

Answer:

Least Common Multiple of 1698 and 1703 = 2891694

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

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 = 2891694 = 2 x 3 x 13 x 131 x 283

Step 4: Therefore, the least common multiple of 1698 and 1703 is 2891694.