Least Common Multiple of 7704 and 7709

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 7709 the smallest integer that is 59390136 that is divisible by both numbers.

Least Common Multiple (LCM) of 7704 and 7709 is 59390136.

LCM(7704,7709) = 59390136

LCM of 7704 and 7709

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

LCM of:
and

Least Common Multiple of 7704 and 7709

LCM of 7704 and 7709 is 59390136

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7709. First we will calculate the prime factors of 7704 and 7709.

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 7709


13 7709
593 593
1

Prime factors of 7709 are 13,593. Prime factorization of 7709 in exponential form is:

7709 = 131×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 7704 and 7709.

LCM(7704,7709) = 23×32×131×1071×5931
LCM(7704,7709) = 59390136

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 7709

List of positive integer factors of 7709 that divides 7709 without a remainder.

1, 13, 593, 7709

Least Common Multiple of 7704 and 7709 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 7709, than apply into the LCM equation.

GCF(7704,7709) = 1
LCM(7704,7709) = ( 7704 × 7709) / 1
LCM(7704,7709) = 59390136 / 1
LCM(7704,7709) = 59390136

Properties of LCM 7704 and 7709

(i) The LCM of 7709 and 7704 is associative

LCM of 7704 and 7709 = LCM of 7709 and 7704

Related Least Common Multiples of 7704

Related Least Common Multiples of 7709

Frequently Asked Questions on LCM of 7704 and 7709

1. What is the LCM of 7704 and 7709?

Answer: LCM of 7704 and 7709 is 59390136.

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 7709?

Answer: Factors of 7709 are 1, 13, 593, 7709. There are 4 integers that are factors of 7709. The greatest factor of 7709 is 7709.

4. How to Find the LCM of 7704 and 7709?

Answer:

Least Common Multiple of 7704 and 7709 = 59390136

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 7709

7709 = 13 x 593

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

LCM = 59390136 = 2 x 2 x 2 x 3 x 3 x 13 x 107 x 593

Step 4: Therefore, the least common multiple of 7704 and 7709 is 59390136.