Least Common Multiple of 7708 and 7716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7708 and 7716 the smallest integer that is 14868732 that is divisible by both numbers.

Least Common Multiple (LCM) of 7708 and 7716 is 14868732.

LCM(7708,7716) = 14868732

LCM of 7708 and 7716

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

LCM of:
and

Least Common Multiple of 7708 and 7716

LCM of 7708 and 7716 is 14868732

Least common multiple can be found by multiplying the highest exponent prime factors of 7708 and 7716. First we will calculate the prime factors of 7708 and 7716.

Prime Factorization of 7708


2 7708
2 3854
41 1927
47 47
1

Prime factors of 7708 are 2, 41,47. Prime factorization of 7708 in exponential form is:

7708 = 22×411×471

Prime Factorization of 7716


2 7716
2 3858
3 1929
643 643
1

Prime factors of 7716 are 2, 3,643. Prime factorization of 7716 in exponential form is:

7716 = 22×31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7708 and 7716.

LCM(7708,7716) = 22×31×411×471×6431
LCM(7708,7716) = 14868732

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716

Least Common Multiple of 7708 and 7716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7708 and 7716, than apply into the LCM equation.

GCF(7708,7716) = 4
LCM(7708,7716) = ( 7708 × 7716) / 4
LCM(7708,7716) = 59474928 / 4
LCM(7708,7716) = 14868732

Properties of LCM 7708 and 7716

(i) The LCM of 7716 and 7708 is associative

LCM of 7708 and 7716 = LCM of 7716 and 7708

Related Least Common Multiples of 7708

Related Least Common Multiples of 7716

Frequently Asked Questions on LCM of 7708 and 7716

1. What is the LCM of 7708 and 7716?

Answer: LCM of 7708 and 7716 is 14868732.

2. What are the Factors of 7708?

Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.

3. What are the Factors of 7716?

Answer: Factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716. There are 12 integers that are factors of 7716. The greatest factor of 7716 is 7716.

4. How to Find the LCM of 7708 and 7716?

Answer:

Least Common Multiple of 7708 and 7716 = 14868732

Step 1: Find the prime factorization of 7708

7708 = 2 x 2 x 41 x 47

Step 2: Find the prime factorization of 7716

7716 = 2 x 2 x 3 x 643

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

LCM = 14868732 = 2 x 2 x 3 x 41 x 47 x 643

Step 4: Therefore, the least common multiple of 7708 and 7716 is 14868732.