Least Common Multiple of 1696 and 1703

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 1703 the smallest integer that is 2888288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1696 and 1703 is 2888288.

LCM(1696,1703) = 2888288

LCM of 1696 and 1703

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

LCM of:
and

Least Common Multiple of 1696 and 1703

LCM of 1696 and 1703 is 2888288

Least common multiple can be found by multiplying the highest exponent prime factors of 1696 and 1703. First we will calculate the prime factors of 1696 and 1703.

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 1703


13 1703
131 131
1

Prime factors of 1703 are 13,131. Prime factorization of 1703 in exponential form is:

1703 = 131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1696 and 1703.

LCM(1696,1703) = 25×131×531×1311
LCM(1696,1703) = 2888288

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 1703

List of positive integer factors of 1703 that divides 1703 without a remainder.

1, 13, 131, 1703

Least Common Multiple of 1696 and 1703 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 1703, than apply into the LCM equation.

GCF(1696,1703) = 1
LCM(1696,1703) = ( 1696 × 1703) / 1
LCM(1696,1703) = 2888288 / 1
LCM(1696,1703) = 2888288

Properties of LCM 1696 and 1703

(i) The LCM of 1703 and 1696 is associative

LCM of 1696 and 1703 = LCM of 1703 and 1696

Related Least Common Multiples of 1696

Related Least Common Multiples of 1703

Frequently Asked Questions on LCM of 1696 and 1703

1. What is the LCM of 1696 and 1703?

Answer: LCM of 1696 and 1703 is 2888288.

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 1703?

Answer: Factors of 1703 are 1, 13, 131, 1703. There are 4 integers that are factors of 1703. The greatest factor of 1703 is 1703.

4. How to Find the LCM of 1696 and 1703?

Answer:

Least Common Multiple of 1696 and 1703 = 2888288

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 1703

1703 = 13 x 131

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

LCM = 2888288 = 2 x 2 x 2 x 2 x 2 x 13 x 53 x 131

Step 4: Therefore, the least common multiple of 1696 and 1703 is 2888288.