Least Common Multiple of 1696 and 1702

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 1702 the smallest integer that is 1443296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1696 and 1702 is 1443296.

LCM(1696,1702) = 1443296

LCM of 1696 and 1702

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

LCM of:
and

Least Common Multiple of 1696 and 1702

LCM of 1696 and 1702 is 1443296

Least common multiple can be found by multiplying the highest exponent prime factors of 1696 and 1702. First we will calculate the prime factors of 1696 and 1702.

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 1702


2 1702
23 851
37 37
1

Prime factors of 1702 are 2, 23,37. Prime factorization of 1702 in exponential form is:

1702 = 21×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1696 and 1702.

LCM(1696,1702) = 25×231×371×531
LCM(1696,1702) = 1443296

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 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1, 2, 23, 37, 46, 74, 851, 1702

Least Common Multiple of 1696 and 1702 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 1702, than apply into the LCM equation.

GCF(1696,1702) = 2
LCM(1696,1702) = ( 1696 × 1702) / 2
LCM(1696,1702) = 2886592 / 2
LCM(1696,1702) = 1443296

Properties of LCM 1696 and 1702

(i) The LCM of 1702 and 1696 is associative

LCM of 1696 and 1702 = LCM of 1702 and 1696

Related Least Common Multiples of 1696

Related Least Common Multiples of 1702

Frequently Asked Questions on LCM of 1696 and 1702

1. What is the LCM of 1696 and 1702?

Answer: LCM of 1696 and 1702 is 1443296.

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 1702?

Answer: Factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702. There are 8 integers that are factors of 1702. The greatest factor of 1702 is 1702.

4. How to Find the LCM of 1696 and 1702?

Answer:

Least Common Multiple of 1696 and 1702 = 1443296

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 1702

1702 = 2 x 23 x 37

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

LCM = 1443296 = 2 x 2 x 2 x 2 x 2 x 23 x 37 x 53

Step 4: Therefore, the least common multiple of 1696 and 1702 is 1443296.