Least Common Multiple of 7704 and 7708

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 7708 the smallest integer that is 14845608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7704 and 7708 is 14845608.

LCM(7704,7708) = 14845608

LCM of 7704 and 7708

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

LCM of:
and

Least Common Multiple of 7704 and 7708

LCM of 7704 and 7708 is 14845608

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7708. First we will calculate the prime factors of 7704 and 7708.

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 7708


2 7708
2 3854
41 1927
47 47
1

Prime factors of 7708 are 2, 41,47. Prime factorization of 7708 in exponential form is:

7708 = 22×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7704 and 7708.

LCM(7704,7708) = 23×32×411×471×1071
LCM(7704,7708) = 14845608

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 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708

Least Common Multiple of 7704 and 7708 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 7708, than apply into the LCM equation.

GCF(7704,7708) = 4
LCM(7704,7708) = ( 7704 × 7708) / 4
LCM(7704,7708) = 59382432 / 4
LCM(7704,7708) = 14845608

Properties of LCM 7704 and 7708

(i) The LCM of 7708 and 7704 is associative

LCM of 7704 and 7708 = LCM of 7708 and 7704

Related Least Common Multiples of 7704

Related Least Common Multiples of 7708

Frequently Asked Questions on LCM of 7704 and 7708

1. What is the LCM of 7704 and 7708?

Answer: LCM of 7704 and 7708 is 14845608.

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 7708?

Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.

4. How to Find the LCM of 7704 and 7708?

Answer:

Least Common Multiple of 7704 and 7708 = 14845608

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 7708

7708 = 2 x 2 x 41 x 47

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

LCM = 14845608 = 2 x 2 x 2 x 3 x 3 x 41 x 47 x 107

Step 4: Therefore, the least common multiple of 7704 and 7708 is 14845608.