Least Common Multiple of 7704 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 7704 and 7710 the smallest integer that is 9899640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7704 and 7710 is 9899640.

LCM(7704,7710) = 9899640

LCM of 7704 and 7710

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

LCM of:
and

Least Common Multiple of 7704 and 7710

LCM of 7704 and 7710 is 9899640

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7710. First we will calculate the prime factors of 7704 and 7710.

Prime Factorization of 7704


2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 7704 are 2, 3,107. Prime factorization of 7704 in exponential form is:

7704 = 23×32×1071

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 7704 and 7710.

LCM(7704,7710) = 23×32×51×1071×2571
LCM(7704,7710) = 9899640

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704

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 7704 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 7704 and 7710, than apply into the LCM equation.

GCF(7704,7710) = 6
LCM(7704,7710) = ( 7704 × 7710) / 6
LCM(7704,7710) = 59397840 / 6
LCM(7704,7710) = 9899640

Properties of LCM 7704 and 7710

(i) The LCM of 7710 and 7704 is associative

LCM of 7704 and 7710 = LCM of 7710 and 7704

Related Least Common Multiples of 7704

Related Least Common Multiples of 7710

Frequently Asked Questions on LCM of 7704 and 7710

1. What is the LCM of 7704 and 7710?

Answer: LCM of 7704 and 7710 is 9899640.

2. What are the Factors of 7704?

Answer: Factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704. There are 24 integers that are factors of 7704. The greatest factor of 7704 is 7704.

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 7704 and 7710?

Answer:

Least Common Multiple of 7704 and 7710 = 9899640

Step 1: Find the prime factorization of 7704

7704 = 2 x 2 x 2 x 3 x 3 x 107

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 = 9899640 = 2 x 2 x 2 x 3 x 3 x 5 x 107 x 257

Step 4: Therefore, the least common multiple of 7704 and 7710 is 9899640.