Least Common Multiple of 1698 and 1704

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 1704 the smallest integer that is 482232 that is divisible by both numbers.

Least Common Multiple (LCM) of 1698 and 1704 is 482232.

LCM(1698,1704) = 482232

LCM of 1698 and 1704

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

LCM of:
and

Least Common Multiple of 1698 and 1704

LCM of 1698 and 1704 is 482232

Least common multiple can be found by multiplying the highest exponent prime factors of 1698 and 1704. First we will calculate the prime factors of 1698 and 1704.

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 1704


2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 1704 are 2, 3,71. Prime factorization of 1704 in exponential form is:

1704 = 23×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1698 and 1704.

LCM(1698,1704) = 23×31×711×2831
LCM(1698,1704) = 482232

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 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704

Least Common Multiple of 1698 and 1704 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 1704, than apply into the LCM equation.

GCF(1698,1704) = 6
LCM(1698,1704) = ( 1698 × 1704) / 6
LCM(1698,1704) = 2893392 / 6
LCM(1698,1704) = 482232

Properties of LCM 1698 and 1704

(i) The LCM of 1704 and 1698 is associative

LCM of 1698 and 1704 = LCM of 1704 and 1698

Related Least Common Multiples of 1698

Related Least Common Multiples of 1704

Frequently Asked Questions on LCM of 1698 and 1704

1. What is the LCM of 1698 and 1704?

Answer: LCM of 1698 and 1704 is 482232.

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 1704?

Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.

4. How to Find the LCM of 1698 and 1704?

Answer:

Least Common Multiple of 1698 and 1704 = 482232

Step 1: Find the prime factorization of 1698

1698 = 2 x 3 x 283

Step 2: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

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

LCM = 482232 = 2 x 2 x 2 x 3 x 71 x 283

Step 4: Therefore, the least common multiple of 1698 and 1704 is 482232.