Least Common Multiple of 7717 and 7723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7717 and 7723 the smallest integer that is 59598391 that is divisible by both numbers.

Least Common Multiple (LCM) of 7717 and 7723 is 59598391.

LCM(7717,7723) = 59598391

LCM of 7717 and 7723

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

LCM of:
and

Least Common Multiple of 7717 and 7723

LCM of 7717 and 7723 is 59598391

Least common multiple can be found by multiplying the highest exponent prime factors of 7717 and 7723. First we will calculate the prime factors of 7717 and 7723.

Prime Factorization of 7717


7717 7717
1

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

7717 = 77171

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Now multiplying the highest exponent prime factors to calculate the LCM of 7717 and 7723.

LCM(7717,7723) = 77171×77231
LCM(7717,7723) = 59598391

Factors of 7717

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

1, 7717

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

Least Common Multiple of 7717 and 7723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7717 and 7723, than apply into the LCM equation.

GCF(7717,7723) = 1
LCM(7717,7723) = ( 7717 × 7723) / 1
LCM(7717,7723) = 59598391 / 1
LCM(7717,7723) = 59598391

Properties of LCM 7717 and 7723

(i) The LCM of 7723 and 7717 is associative

LCM of 7717 and 7723 = LCM of 7723 and 7717

Related Least Common Multiples of 7717

Related Least Common Multiples of 7723

Frequently Asked Questions on LCM of 7717 and 7723

1. What is the LCM of 7717 and 7723?

Answer: LCM of 7717 and 7723 is 59598391.

2. 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.

3. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

4. How to Find the LCM of 7717 and 7723?

Answer:

Least Common Multiple of 7717 and 7723 = 59598391

Step 1: Find the prime factorization of 7717

7717 = 7717

Step 2: Find the prime factorization of 7723

7723 = 7723

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

LCM = 59598391 = 7717 x 7723

Step 4: Therefore, the least common multiple of 7717 and 7723 is 59598391.