Least Common Multiple of 7706 and 7713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7706 and 7713 the smallest integer that is 59436378 that is divisible by both numbers.

Least Common Multiple (LCM) of 7706 and 7713 is 59436378.

LCM(7706,7713) = 59436378

LCM of 7706 and 7713

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

LCM of:
and

Least Common Multiple of 7706 and 7713

LCM of 7706 and 7713 is 59436378

Least common multiple can be found by multiplying the highest exponent prime factors of 7706 and 7713. First we will calculate the prime factors of 7706 and 7713.

Prime Factorization of 7706


2 7706
3853 3853
1

Prime factors of 7706 are 2,3853. Prime factorization of 7706 in exponential form is:

7706 = 21×38531

Prime Factorization of 7713


3 7713
3 2571
857 857
1

Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:

7713 = 32×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 7706 and 7713.

LCM(7706,7713) = 21×32×8571×38531
LCM(7706,7713) = 59436378

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1, 2, 3853, 7706

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1, 3, 9, 857, 2571, 7713

Least Common Multiple of 7706 and 7713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7706 and 7713, than apply into the LCM equation.

GCF(7706,7713) = 1
LCM(7706,7713) = ( 7706 × 7713) / 1
LCM(7706,7713) = 59436378 / 1
LCM(7706,7713) = 59436378

Properties of LCM 7706 and 7713

(i) The LCM of 7713 and 7706 is associative

LCM of 7706 and 7713 = LCM of 7713 and 7706

Related Least Common Multiples of 7706

Related Least Common Multiples of 7713

Frequently Asked Questions on LCM of 7706 and 7713

1. What is the LCM of 7706 and 7713?

Answer: LCM of 7706 and 7713 is 59436378.

2. What are the Factors of 7706?

Answer: Factors of 7706 are 1, 2, 3853, 7706. There are 4 integers that are factors of 7706. The greatest factor of 7706 is 7706.

3. What are the Factors of 7713?

Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.

4. How to Find the LCM of 7706 and 7713?

Answer:

Least Common Multiple of 7706 and 7713 = 59436378

Step 1: Find the prime factorization of 7706

7706 = 2 x 3853

Step 2: Find the prime factorization of 7713

7713 = 3 x 3 x 857

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

LCM = 59436378 = 2 x 3 x 3 x 857 x 3853

Step 4: Therefore, the least common multiple of 7706 and 7713 is 59436378.