Least Common Multiple of 7696 and 7703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7696 and 7703 the smallest integer that is 59282288 that is divisible by both numbers.

Least Common Multiple (LCM) of 7696 and 7703 is 59282288.

LCM(7696,7703) = 59282288

LCM of 7696 and 7703

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

LCM of:
and

Least Common Multiple of 7696 and 7703

LCM of 7696 and 7703 is 59282288

Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7703. First we will calculate the prime factors of 7696 and 7703.

Prime Factorization of 7696


2 7696
2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 7696 are 2, 13,37. Prime factorization of 7696 in exponential form is:

7696 = 24×131×371

Prime Factorization of 7703


7703 7703
1

Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:

7703 = 77031

Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7703.

LCM(7696,7703) = 24×131×371×77031
LCM(7696,7703) = 59282288

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696

Factors of 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1, 7703

Least Common Multiple of 7696 and 7703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7696 and 7703, than apply into the LCM equation.

GCF(7696,7703) = 1
LCM(7696,7703) = ( 7696 × 7703) / 1
LCM(7696,7703) = 59282288 / 1
LCM(7696,7703) = 59282288

Properties of LCM 7696 and 7703

(i) The LCM of 7703 and 7696 is associative

LCM of 7696 and 7703 = LCM of 7703 and 7696

Related Least Common Multiples of 7696

Related Least Common Multiples of 7703

Frequently Asked Questions on LCM of 7696 and 7703

1. What is the LCM of 7696 and 7703?

Answer: LCM of 7696 and 7703 is 59282288.

2. What are the Factors of 7696?

Answer: Factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696. There are 20 integers that are factors of 7696. The greatest factor of 7696 is 7696.

3. What are the Factors of 7703?

Answer: Factors of 7703 are 1, 7703. There are 2 integers that are factors of 7703. The greatest factor of 7703 is 7703.

4. How to Find the LCM of 7696 and 7703?

Answer:

Least Common Multiple of 7696 and 7703 = 59282288

Step 1: Find the prime factorization of 7696

7696 = 2 x 2 x 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 7703

7703 = 7703

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

LCM = 59282288 = 2 x 2 x 2 x 2 x 13 x 37 x 7703

Step 4: Therefore, the least common multiple of 7696 and 7703 is 59282288.