Least Common Multiple of 1698 and 1706

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 1706 the smallest integer that is 1448394 that is divisible by both numbers.

Least Common Multiple (LCM) of 1698 and 1706 is 1448394.

LCM(1698,1706) = 1448394

LCM of 1698 and 1706

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

LCM of:
and

Least Common Multiple of 1698 and 1706

LCM of 1698 and 1706 is 1448394

Least common multiple can be found by multiplying the highest exponent prime factors of 1698 and 1706. First we will calculate the prime factors of 1698 and 1706.

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 1706


2 1706
853 853
1

Prime factors of 1706 are 2,853. Prime factorization of 1706 in exponential form is:

1706 = 21×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 1698 and 1706.

LCM(1698,1706) = 21×31×2831×8531
LCM(1698,1706) = 1448394

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 1706

List of positive integer factors of 1706 that divides 1706 without a remainder.

1, 2, 853, 1706

Least Common Multiple of 1698 and 1706 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 1706, than apply into the LCM equation.

GCF(1698,1706) = 2
LCM(1698,1706) = ( 1698 × 1706) / 2
LCM(1698,1706) = 2896788 / 2
LCM(1698,1706) = 1448394

Properties of LCM 1698 and 1706

(i) The LCM of 1706 and 1698 is associative

LCM of 1698 and 1706 = LCM of 1706 and 1698

Related Least Common Multiples of 1698

Related Least Common Multiples of 1706

Frequently Asked Questions on LCM of 1698 and 1706

1. What is the LCM of 1698 and 1706?

Answer: LCM of 1698 and 1706 is 1448394.

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 1706?

Answer: Factors of 1706 are 1, 2, 853, 1706. There are 4 integers that are factors of 1706. The greatest factor of 1706 is 1706.

4. How to Find the LCM of 1698 and 1706?

Answer:

Least Common Multiple of 1698 and 1706 = 1448394

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

Step 2: Find the prime factorization of 1706

1706 = 2 x 853

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

LCM = 1448394 = 2 x 3 x 283 x 853

Step 4: Therefore, the least common multiple of 1698 and 1706 is 1448394.