Least Common Multiple of 1696 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 1696 and 1698 the smallest integer that is 1439904 that is divisible by both numbers.

Least Common Multiple (LCM) of 1696 and 1698 is 1439904.

LCM(1696,1698) = 1439904

LCM of 1696 and 1698

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

LCM of:
and

Least Common Multiple of 1696 and 1698

LCM of 1696 and 1698 is 1439904

Least common multiple can be found by multiplying the highest exponent prime factors of 1696 and 1698. First we will calculate the prime factors of 1696 and 1698.

Prime Factorization of 1696


2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 1696 are 2,53. Prime factorization of 1696 in exponential form is:

1696 = 25×531

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 1696 and 1698.

LCM(1696,1698) = 25×31×531×2831
LCM(1696,1698) = 1439904

Factors of 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696

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 1696 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 1696 and 1698, than apply into the LCM equation.

GCF(1696,1698) = 2
LCM(1696,1698) = ( 1696 × 1698) / 2
LCM(1696,1698) = 2879808 / 2
LCM(1696,1698) = 1439904

Properties of LCM 1696 and 1698

(i) The LCM of 1698 and 1696 is associative

LCM of 1696 and 1698 = LCM of 1698 and 1696

Related Least Common Multiples of 1696

Related Least Common Multiples of 1698

Frequently Asked Questions on LCM of 1696 and 1698

1. What is the LCM of 1696 and 1698?

Answer: LCM of 1696 and 1698 is 1439904.

2. What are the Factors of 1696?

Answer: Factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696. There are 12 integers that are factors of 1696. The greatest factor of 1696 is 1696.

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 1696 and 1698?

Answer:

Least Common Multiple of 1696 and 1698 = 1439904

Step 1: Find the prime factorization of 1696

1696 = 2 x 2 x 2 x 2 x 2 x 53

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 = 1439904 = 2 x 2 x 2 x 2 x 2 x 3 x 53 x 283

Step 4: Therefore, the least common multiple of 1696 and 1698 is 1439904.