Least Common Multiple of 1692 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 1692 and 1698 the smallest integer that is 478836 that is divisible by both numbers.

Least Common Multiple (LCM) of 1692 and 1698 is 478836.

LCM(1692,1698) = 478836

LCM of 1692 and 1698

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

LCM of:
and

Least Common Multiple of 1692 and 1698

LCM of 1692 and 1698 is 478836

Least common multiple can be found by multiplying the highest exponent prime factors of 1692 and 1698. First we will calculate the prime factors of 1692 and 1698.

Prime Factorization of 1692


2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 1692 are 2, 3,47. Prime factorization of 1692 in exponential form is:

1692 = 22×32×471

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 1692 and 1698.

LCM(1692,1698) = 22×32×471×2831
LCM(1692,1698) = 478836

Factors of 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692

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 1692 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 1692 and 1698, than apply into the LCM equation.

GCF(1692,1698) = 6
LCM(1692,1698) = ( 1692 × 1698) / 6
LCM(1692,1698) = 2873016 / 6
LCM(1692,1698) = 478836

Properties of LCM 1692 and 1698

(i) The LCM of 1698 and 1692 is associative

LCM of 1692 and 1698 = LCM of 1698 and 1692

Related Least Common Multiples of 1692

Related Least Common Multiples of 1698

Frequently Asked Questions on LCM of 1692 and 1698

1. What is the LCM of 1692 and 1698?

Answer: LCM of 1692 and 1698 is 478836.

2. What are the Factors of 1692?

Answer: Factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692. There are 18 integers that are factors of 1692. The greatest factor of 1692 is 1692.

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 1692 and 1698?

Answer:

Least Common Multiple of 1692 and 1698 = 478836

Step 1: Find the prime factorization of 1692

1692 = 2 x 2 x 3 x 3 x 47

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 = 478836 = 2 x 2 x 3 x 3 x 47 x 283

Step 4: Therefore, the least common multiple of 1692 and 1698 is 478836.