Least Common Multiple of 7717 and 7721

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 7721 the smallest integer that is 59582957 that is divisible by both numbers.

Least Common Multiple (LCM) of 7717 and 7721 is 59582957.

LCM(7717,7721) = 59582957

LCM of 7717 and 7721

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

LCM of:
and

Least Common Multiple of 7717 and 7721

LCM of 7717 and 7721 is 59582957

Least common multiple can be found by multiplying the highest exponent prime factors of 7717 and 7721. First we will calculate the prime factors of 7717 and 7721.

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 7721


7 7721
1103 1103
1

Prime factors of 7721 are 7,1103. Prime factorization of 7721 in exponential form is:

7721 = 71×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 7717 and 7721.

LCM(7717,7721) = 71×11031×77171
LCM(7717,7721) = 59582957

Factors of 7717

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

1, 7717

Factors of 7721

List of positive integer factors of 7721 that divides 7721 without a remainder.

1, 7, 1103, 7721

Least Common Multiple of 7717 and 7721 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 7721, than apply into the LCM equation.

GCF(7717,7721) = 1
LCM(7717,7721) = ( 7717 × 7721) / 1
LCM(7717,7721) = 59582957 / 1
LCM(7717,7721) = 59582957

Properties of LCM 7717 and 7721

(i) The LCM of 7721 and 7717 is associative

LCM of 7717 and 7721 = LCM of 7721 and 7717

Related Least Common Multiples of 7717

Related Least Common Multiples of 7721

Frequently Asked Questions on LCM of 7717 and 7721

1. What is the LCM of 7717 and 7721?

Answer: LCM of 7717 and 7721 is 59582957.

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 7721?

Answer: Factors of 7721 are 1, 7, 1103, 7721. There are 4 integers that are factors of 7721. The greatest factor of 7721 is 7721.

4. How to Find the LCM of 7717 and 7721?

Answer:

Least Common Multiple of 7717 and 7721 = 59582957

Step 1: Find the prime factorization of 7717

7717 = 7717

Step 2: Find the prime factorization of 7721

7721 = 7 x 1103

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

LCM = 59582957 = 7 x 1103 x 7717

Step 4: Therefore, the least common multiple of 7717 and 7721 is 59582957.