Least Common Multiple of 1698 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 1698 and 1702 the smallest integer that is 1444998 that is divisible by both numbers.

Least Common Multiple (LCM) of 1698 and 1702 is 1444998.

LCM(1698,1702) = 1444998

LCM of 1698 and 1702

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

LCM of:
and

Least Common Multiple of 1698 and 1702

LCM of 1698 and 1702 is 1444998

Least common multiple can be found by multiplying the highest exponent prime factors of 1698 and 1702. First we will calculate the prime factors of 1698 and 1702.

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 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 1698 and 1702.

LCM(1698,1702) = 21×31×231×371×2831
LCM(1698,1702) = 1444998

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 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 1698 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 1698 and 1702, than apply into the LCM equation.

GCF(1698,1702) = 2
LCM(1698,1702) = ( 1698 × 1702) / 2
LCM(1698,1702) = 2889996 / 2
LCM(1698,1702) = 1444998

Properties of LCM 1698 and 1702

(i) The LCM of 1702 and 1698 is associative

LCM of 1698 and 1702 = LCM of 1702 and 1698

Related Least Common Multiples of 1698

Related Least Common Multiples of 1702

Frequently Asked Questions on LCM of 1698 and 1702

1. What is the LCM of 1698 and 1702?

Answer: LCM of 1698 and 1702 is 1444998.

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 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 1698 and 1702?

Answer:

Least Common Multiple of 1698 and 1702 = 1444998

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

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 = 1444998 = 2 x 3 x 23 x 37 x 283

Step 4: Therefore, the least common multiple of 1698 and 1702 is 1444998.