Least Common Multiple of 7715 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 7715 and 7721 the smallest integer that is 59567515 that is divisible by both numbers.

Least Common Multiple (LCM) of 7715 and 7721 is 59567515.

LCM(7715,7721) = 59567515

LCM of 7715 and 7721

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

LCM of:
and

Least Common Multiple of 7715 and 7721

LCM of 7715 and 7721 is 59567515

Least common multiple can be found by multiplying the highest exponent prime factors of 7715 and 7721. First we will calculate the prime factors of 7715 and 7721.

Prime Factorization of 7715


5 7715
1543 1543
1

Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:

7715 = 51×15431

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 7715 and 7721.

LCM(7715,7721) = 51×71×11031×15431
LCM(7715,7721) = 59567515

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1, 5, 1543, 7715

Factors of 7721

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

1, 7, 1103, 7721

Least Common Multiple of 7715 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 7715 and 7721, than apply into the LCM equation.

GCF(7715,7721) = 1
LCM(7715,7721) = ( 7715 × 7721) / 1
LCM(7715,7721) = 59567515 / 1
LCM(7715,7721) = 59567515

Properties of LCM 7715 and 7721

(i) The LCM of 7721 and 7715 is associative

LCM of 7715 and 7721 = LCM of 7721 and 7715

Related Least Common Multiples of 7715

Related Least Common Multiples of 7721

Frequently Asked Questions on LCM of 7715 and 7721

1. What is the LCM of 7715 and 7721?

Answer: LCM of 7715 and 7721 is 59567515.

2. What are the Factors of 7715?

Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.

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 7715 and 7721?

Answer:

Least Common Multiple of 7715 and 7721 = 59567515

Step 1: Find the prime factorization of 7715

7715 = 5 x 1543

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 = 59567515 = 5 x 7 x 1103 x 1543

Step 4: Therefore, the least common multiple of 7715 and 7721 is 59567515.