Least Common Multiple of 1690 and 1696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1690 and 1696 the smallest integer that is 1433120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1690 and 1696 is 1433120.

LCM(1690,1696) = 1433120

LCM of 1690 and 1696

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

LCM of:
and

Least Common Multiple of 1690 and 1696

LCM of 1690 and 1696 is 1433120

Least common multiple can be found by multiplying the highest exponent prime factors of 1690 and 1696. First we will calculate the prime factors of 1690 and 1696.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1690 and 1696.

LCM(1690,1696) = 25×51×132×531
LCM(1690,1696) = 1433120

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

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

Least Common Multiple of 1690 and 1696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1690 and 1696, than apply into the LCM equation.

GCF(1690,1696) = 2
LCM(1690,1696) = ( 1690 × 1696) / 2
LCM(1690,1696) = 2866240 / 2
LCM(1690,1696) = 1433120

Properties of LCM 1690 and 1696

(i) The LCM of 1696 and 1690 is associative

LCM of 1690 and 1696 = LCM of 1696 and 1690

Related Least Common Multiples of 1690

Related Least Common Multiples of 1696

Frequently Asked Questions on LCM of 1690 and 1696

1. What is the LCM of 1690 and 1696?

Answer: LCM of 1690 and 1696 is 1433120.

2. 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.

3. 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.

4. How to Find the LCM of 1690 and 1696?

Answer:

Least Common Multiple of 1690 and 1696 = 1433120

Step 1: Find the prime factorization of 1690

1690 = 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 1696

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

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

LCM = 1433120 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13 x 53

Step 4: Therefore, the least common multiple of 1690 and 1696 is 1433120.