Least Common Multiple of 1685 and 1690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1685 and 1690 the smallest integer that is 569530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1685 and 1690 is 569530.

LCM(1685,1690) = 569530

LCM of 1685 and 1690

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

LCM of:
and

Least Common Multiple of 1685 and 1690

LCM of 1685 and 1690 is 569530

Least common multiple can be found by multiplying the highest exponent prime factors of 1685 and 1690. First we will calculate the prime factors of 1685 and 1690.

Prime Factorization of 1685


5 1685
337 337
1

Prime factors of 1685 are 5,337. Prime factorization of 1685 in exponential form is:

1685 = 51×3371

Prime Factorization of 1690


2 1690
5 845
13 169
13 13
1

Prime factors of 1690 are 2, 5,13. Prime factorization of 1690 in exponential form is:

1690 = 21×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1685 and 1690.

LCM(1685,1690) = 21×51×132×3371
LCM(1685,1690) = 569530

Factors of 1685

List of positive integer factors of 1685 that divides 1685 without a remainder.

1, 5, 337, 1685

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690

Least Common Multiple of 1685 and 1690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1685 and 1690, than apply into the LCM equation.

GCF(1685,1690) = 5
LCM(1685,1690) = ( 1685 × 1690) / 5
LCM(1685,1690) = 2847650 / 5
LCM(1685,1690) = 569530

Properties of LCM 1685 and 1690

(i) The LCM of 1690 and 1685 is associative

LCM of 1685 and 1690 = LCM of 1690 and 1685

Related Least Common Multiples of 1685

Related Least Common Multiples of 1690

Frequently Asked Questions on LCM of 1685 and 1690

1. What is the LCM of 1685 and 1690?

Answer: LCM of 1685 and 1690 is 569530.

2. What are the Factors of 1685?

Answer: Factors of 1685 are 1, 5, 337, 1685. There are 4 integers that are factors of 1685. The greatest factor of 1685 is 1685.

3. What are the Factors of 1690?

Answer: Factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690. There are 12 integers that are factors of 1690. The greatest factor of 1690 is 1690.

4. How to Find the LCM of 1685 and 1690?

Answer:

Least Common Multiple of 1685 and 1690 = 569530

Step 1: Find the prime factorization of 1685

1685 = 5 x 337

Step 2: Find the prime factorization of 1690

1690 = 2 x 5 x 13 x 13

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

LCM = 569530 = 2 x 5 x 13 x 13 x 337

Step 4: Therefore, the least common multiple of 1685 and 1690 is 569530.