Least Common Multiple of 7706 and 7710

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 7710 the smallest integer that is 29706630 that is divisible by both numbers.

Least Common Multiple (LCM) of 7706 and 7710 is 29706630.

LCM(7706,7710) = 29706630

LCM of 7706 and 7710

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

LCM of:
and

Least Common Multiple of 7706 and 7710

LCM of 7706 and 7710 is 29706630

Least common multiple can be found by multiplying the highest exponent prime factors of 7706 and 7710. First we will calculate the prime factors of 7706 and 7710.

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 7710


2 7710
3 3855
5 1285
257 257
1

Prime factors of 7710 are 2, 3, 5,257. Prime factorization of 7710 in exponential form is:

7710 = 21×31×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7706 and 7710.

LCM(7706,7710) = 21×31×51×2571×38531
LCM(7706,7710) = 29706630

Factors of 7706

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

1, 2, 3853, 7706

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710

Least Common Multiple of 7706 and 7710 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 7710, than apply into the LCM equation.

GCF(7706,7710) = 2
LCM(7706,7710) = ( 7706 × 7710) / 2
LCM(7706,7710) = 59413260 / 2
LCM(7706,7710) = 29706630

Properties of LCM 7706 and 7710

(i) The LCM of 7710 and 7706 is associative

LCM of 7706 and 7710 = LCM of 7710 and 7706

Related Least Common Multiples of 7706

Related Least Common Multiples of 7710

Frequently Asked Questions on LCM of 7706 and 7710

1. What is the LCM of 7706 and 7710?

Answer: LCM of 7706 and 7710 is 29706630.

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 7710?

Answer: Factors of 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710. There are 16 integers that are factors of 7710. The greatest factor of 7710 is 7710.

4. How to Find the LCM of 7706 and 7710?

Answer:

Least Common Multiple of 7706 and 7710 = 29706630

Step 1: Find the prime factorization of 7706

7706 = 2 x 3853

Step 2: Find the prime factorization of 7710

7710 = 2 x 3 x 5 x 257

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

LCM = 29706630 = 2 x 3 x 5 x 257 x 3853

Step 4: Therefore, the least common multiple of 7706 and 7710 is 29706630.