Least Common Multiple of 1694 and 1698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1694 and 1698 the smallest integer that is 1438206 that is divisible by both numbers.

Least Common Multiple (LCM) of 1694 and 1698 is 1438206.

LCM(1694,1698) = 1438206

LCM of 1694 and 1698

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

LCM of:
and

Least Common Multiple of 1694 and 1698

LCM of 1694 and 1698 is 1438206

Least common multiple can be found by multiplying the highest exponent prime factors of 1694 and 1698. First we will calculate the prime factors of 1694 and 1698.

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2, 7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1694 and 1698.

LCM(1694,1698) = 21×31×71×112×2831
LCM(1694,1698) = 1438206

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Factors of 1698

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

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

Least Common Multiple of 1694 and 1698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1694 and 1698, than apply into the LCM equation.

GCF(1694,1698) = 2
LCM(1694,1698) = ( 1694 × 1698) / 2
LCM(1694,1698) = 2876412 / 2
LCM(1694,1698) = 1438206

Properties of LCM 1694 and 1698

(i) The LCM of 1698 and 1694 is associative

LCM of 1694 and 1698 = LCM of 1698 and 1694

Related Least Common Multiples of 1694

Related Least Common Multiples of 1698

Frequently Asked Questions on LCM of 1694 and 1698

1. What is the LCM of 1694 and 1698?

Answer: LCM of 1694 and 1698 is 1438206.

2. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

3. 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.

4. How to Find the LCM of 1694 and 1698?

Answer:

Least Common Multiple of 1694 and 1698 = 1438206

Step 1: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

Step 2: Find the prime factorization of 1698

1698 = 2 x 3 x 283

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

LCM = 1438206 = 2 x 3 x 7 x 11 x 11 x 283

Step 4: Therefore, the least common multiple of 1694 and 1698 is 1438206.