Least Common Multiple of 7710 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 7710 and 7718 the smallest integer that is 29752890 that is divisible by both numbers.

Least Common Multiple (LCM) of 7710 and 7718 is 29752890.

LCM(7710,7718) = 29752890

LCM of 7710 and 7718

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

LCM of:
and

Least Common Multiple of 7710 and 7718

LCM of 7710 and 7718 is 29752890

Least common multiple can be found by multiplying the highest exponent prime factors of 7710 and 7718. First we will calculate the prime factors of 7710 and 7718.

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

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 7710 and 7718.

LCM(7710,7718) = 21×31×51×171×2271×2571
LCM(7710,7718) = 29752890

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

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 7710 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 7710 and 7718, than apply into the LCM equation.

GCF(7710,7718) = 2
LCM(7710,7718) = ( 7710 × 7718) / 2
LCM(7710,7718) = 59505780 / 2
LCM(7710,7718) = 29752890

Properties of LCM 7710 and 7718

(i) The LCM of 7718 and 7710 is associative

LCM of 7710 and 7718 = LCM of 7718 and 7710

Related Least Common Multiples of 7710

Related Least Common Multiples of 7718

Frequently Asked Questions on LCM of 7710 and 7718

1. What is the LCM of 7710 and 7718?

Answer: LCM of 7710 and 7718 is 29752890.

2. 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.

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 7710 and 7718?

Answer:

Least Common Multiple of 7710 and 7718 = 29752890

Step 1: Find the prime factorization of 7710

7710 = 2 x 3 x 5 x 257

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 = 29752890 = 2 x 3 x 5 x 17 x 227 x 257

Step 4: Therefore, the least common multiple of 7710 and 7718 is 29752890.