Least Common Multiple of 7713 and 7717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7713 and 7717 the smallest integer that is 59521221 that is divisible by both numbers.

Least Common Multiple (LCM) of 7713 and 7717 is 59521221.

LCM(7713,7717) = 59521221

LCM of 7713 and 7717

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

LCM of:
and

Least Common Multiple of 7713 and 7717

LCM of 7713 and 7717 is 59521221

Least common multiple can be found by multiplying the highest exponent prime factors of 7713 and 7717. First we will calculate the prime factors of 7713 and 7717.

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

Prime Factorization of 7717


7717 7717
1

Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:

7717 = 77171

Now multiplying the highest exponent prime factors to calculate the LCM of 7713 and 7717.

LCM(7713,7717) = 32×8571×77171
LCM(7713,7717) = 59521221

Factors of 7713

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

1, 3, 9, 857, 2571, 7713

Factors of 7717

List of positive integer factors of 7717 that divides 7717 without a remainder.

1, 7717

Least Common Multiple of 7713 and 7717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7713 and 7717, than apply into the LCM equation.

GCF(7713,7717) = 1
LCM(7713,7717) = ( 7713 × 7717) / 1
LCM(7713,7717) = 59521221 / 1
LCM(7713,7717) = 59521221

Properties of LCM 7713 and 7717

(i) The LCM of 7717 and 7713 is associative

LCM of 7713 and 7717 = LCM of 7717 and 7713

Related Least Common Multiples of 7713

Related Least Common Multiples of 7717

Frequently Asked Questions on LCM of 7713 and 7717

1. What is the LCM of 7713 and 7717?

Answer: LCM of 7713 and 7717 is 59521221.

2. 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.

3. What are the Factors of 7717?

Answer: Factors of 7717 are 1, 7717. There are 2 integers that are factors of 7717. The greatest factor of 7717 is 7717.

4. How to Find the LCM of 7713 and 7717?

Answer:

Least Common Multiple of 7713 and 7717 = 59521221

Step 1: Find the prime factorization of 7713

7713 = 3 x 3 x 857

Step 2: Find the prime factorization of 7717

7717 = 7717

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

LCM = 59521221 = 3 x 3 x 857 x 7717

Step 4: Therefore, the least common multiple of 7713 and 7717 is 59521221.