Least Common Multiple of 7712 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 7712 and 7716 the smallest integer that is 14876448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7712 and 7716 is 14876448.

LCM(7712,7716) = 14876448

LCM of 7712 and 7716

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

LCM of:
and

Least Common Multiple of 7712 and 7716

LCM of 7712 and 7716 is 14876448

Least common multiple can be found by multiplying the highest exponent prime factors of 7712 and 7716. First we will calculate the prime factors of 7712 and 7716.

Prime Factorization of 7712


2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 7712 are 2,241. Prime factorization of 7712 in exponential form is:

7712 = 25×2411

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 7712 and 7716.

LCM(7712,7716) = 25×31×2411×6431
LCM(7712,7716) = 14876448

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712

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 7712 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 7712 and 7716, than apply into the LCM equation.

GCF(7712,7716) = 4
LCM(7712,7716) = ( 7712 × 7716) / 4
LCM(7712,7716) = 59505792 / 4
LCM(7712,7716) = 14876448

Properties of LCM 7712 and 7716

(i) The LCM of 7716 and 7712 is associative

LCM of 7712 and 7716 = LCM of 7716 and 7712

Related Least Common Multiples of 7712

Related Least Common Multiples of 7716

Frequently Asked Questions on LCM of 7712 and 7716

1. What is the LCM of 7712 and 7716?

Answer: LCM of 7712 and 7716 is 14876448.

2. What are the Factors of 7712?

Answer: Factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712. There are 12 integers that are factors of 7712. The greatest factor of 7712 is 7712.

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 7712 and 7716?

Answer:

Least Common Multiple of 7712 and 7716 = 14876448

Step 1: Find the prime factorization of 7712

7712 = 2 x 2 x 2 x 2 x 2 x 241

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 = 14876448 = 2 x 2 x 2 x 2 x 2 x 3 x 241 x 643

Step 4: Therefore, the least common multiple of 7712 and 7716 is 14876448.