Least Common Multiple of 7712 and 7718

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 7718 the smallest integer that is 29760608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7712 and 7718 is 29760608.

LCM(7712,7718) = 29760608

LCM of 7712 and 7718

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

LCM of:
and

Least Common Multiple of 7712 and 7718

LCM of 7712 and 7718 is 29760608

Least common multiple can be found by multiplying the highest exponent prime factors of 7712 and 7718. First we will calculate the prime factors of 7712 and 7718.

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 7718


2 7718
17 3859
227 227
1

Prime factors of 7718 are 2, 17,227. Prime factorization of 7718 in exponential form is:

7718 = 21×171×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7712 and 7718.

LCM(7712,7718) = 25×171×2271×2411
LCM(7712,7718) = 29760608

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 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1, 2, 17, 34, 227, 454, 3859, 7718

Least Common Multiple of 7712 and 7718 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 7718, than apply into the LCM equation.

GCF(7712,7718) = 2
LCM(7712,7718) = ( 7712 × 7718) / 2
LCM(7712,7718) = 59521216 / 2
LCM(7712,7718) = 29760608

Properties of LCM 7712 and 7718

(i) The LCM of 7718 and 7712 is associative

LCM of 7712 and 7718 = LCM of 7718 and 7712

Related Least Common Multiples of 7712

Related Least Common Multiples of 7718

Frequently Asked Questions on LCM of 7712 and 7718

1. What is the LCM of 7712 and 7718?

Answer: LCM of 7712 and 7718 is 29760608.

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 7718?

Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.

4. How to Find the LCM of 7712 and 7718?

Answer:

Least Common Multiple of 7712 and 7718 = 29760608

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 7718

7718 = 2 x 17 x 227

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

LCM = 29760608 = 2 x 2 x 2 x 2 x 2 x 17 x 227 x 241

Step 4: Therefore, the least common multiple of 7712 and 7718 is 29760608.