Least Common Multiple of 7706 and 7712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7706 and 7712 the smallest integer that is 29714336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7706 and 7712 is 29714336.

LCM(7706,7712) = 29714336

LCM of 7706 and 7712

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

LCM of:
and

Least Common Multiple of 7706 and 7712

LCM of 7706 and 7712 is 29714336

Least common multiple can be found by multiplying the highest exponent prime factors of 7706 and 7712. First we will calculate the prime factors of 7706 and 7712.

Prime Factorization of 7706


2 7706
3853 3853
1

Prime factors of 7706 are 2,3853. Prime factorization of 7706 in exponential form is:

7706 = 21×38531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7706 and 7712.

LCM(7706,7712) = 25×2411×38531
LCM(7706,7712) = 29714336

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1, 2, 3853, 7706

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

Least Common Multiple of 7706 and 7712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7706 and 7712, than apply into the LCM equation.

GCF(7706,7712) = 2
LCM(7706,7712) = ( 7706 × 7712) / 2
LCM(7706,7712) = 59428672 / 2
LCM(7706,7712) = 29714336

Properties of LCM 7706 and 7712

(i) The LCM of 7712 and 7706 is associative

LCM of 7706 and 7712 = LCM of 7712 and 7706

Related Least Common Multiples of 7706

Related Least Common Multiples of 7712

Frequently Asked Questions on LCM of 7706 and 7712

1. What is the LCM of 7706 and 7712?

Answer: LCM of 7706 and 7712 is 29714336.

2. What are the Factors of 7706?

Answer: Factors of 7706 are 1, 2, 3853, 7706. There are 4 integers that are factors of 7706. The greatest factor of 7706 is 7706.

3. 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.

4. How to Find the LCM of 7706 and 7712?

Answer:

Least Common Multiple of 7706 and 7712 = 29714336

Step 1: Find the prime factorization of 7706

7706 = 2 x 3853

Step 2: Find the prime factorization of 7712

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

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

LCM = 29714336 = 2 x 2 x 2 x 2 x 2 x 241 x 3853

Step 4: Therefore, the least common multiple of 7706 and 7712 is 29714336.