Least Common Multiple of 7709 and 7716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7709 and 7716 the smallest integer that is 59482644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7709 and 7716 is 59482644.

LCM(7709,7716) = 59482644

LCM of 7709 and 7716

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

LCM of:
and

Least Common Multiple of 7709 and 7716

LCM of 7709 and 7716 is 59482644

Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7716. First we will calculate the prime factors of 7709 and 7716.

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

Prime Factorization of 7716


2 7716
2 3858
3 1929
643 643
1

Prime factors of 7716 are 2, 3,643. Prime factorization of 7716 in exponential form is:

7716 = 22×31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7716.

LCM(7709,7716) = 22×31×131×5931×6431
LCM(7709,7716) = 59482644

Factors of 7709

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

1, 13, 593, 7709

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716

Least Common Multiple of 7709 and 7716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7716, than apply into the LCM equation.

GCF(7709,7716) = 1
LCM(7709,7716) = ( 7709 × 7716) / 1
LCM(7709,7716) = 59482644 / 1
LCM(7709,7716) = 59482644

Properties of LCM 7709 and 7716

(i) The LCM of 7716 and 7709 is associative

LCM of 7709 and 7716 = LCM of 7716 and 7709

Related Least Common Multiples of 7709

Related Least Common Multiples of 7716

Frequently Asked Questions on LCM of 7709 and 7716

1. What is the LCM of 7709 and 7716?

Answer: LCM of 7709 and 7716 is 59482644.

2. 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.

3. What are the Factors of 7716?

Answer: Factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716. There are 12 integers that are factors of 7716. The greatest factor of 7716 is 7716.

4. How to Find the LCM of 7709 and 7716?

Answer:

Least Common Multiple of 7709 and 7716 = 59482644

Step 1: Find the prime factorization of 7709

7709 = 13 x 593

Step 2: Find the prime factorization of 7716

7716 = 2 x 2 x 3 x 643

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

LCM = 59482644 = 2 x 2 x 3 x 13 x 593 x 643

Step 4: Therefore, the least common multiple of 7709 and 7716 is 59482644.