Least Common Multiple of 7718 and 7725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7718 and 7725 the smallest integer that is 59621550 that is divisible by both numbers.

Least Common Multiple (LCM) of 7718 and 7725 is 59621550.

LCM(7718,7725) = 59621550

LCM of 7718 and 7725

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

LCM of:
and

Least Common Multiple of 7718 and 7725

LCM of 7718 and 7725 is 59621550

Least common multiple can be found by multiplying the highest exponent prime factors of 7718 and 7725. First we will calculate the prime factors of 7718 and 7725.

Prime Factorization of 7718


2 7718
17 3859
227 227
1

Prime factors of 7718 are 2, 17,227. Prime factorization of 7718 in exponential form is:

7718 = 21×171×2271

Prime Factorization of 7725


3 7725
5 2575
5 515
103 103
1

Prime factors of 7725 are 3, 5,103. Prime factorization of 7725 in exponential form is:

7725 = 31×52×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7718 and 7725.

LCM(7718,7725) = 21×31×52×171×1031×2271
LCM(7718,7725) = 59621550

Factors of 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1, 2, 17, 34, 227, 454, 3859, 7718

Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725

Least Common Multiple of 7718 and 7725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7718 and 7725, than apply into the LCM equation.

GCF(7718,7725) = 1
LCM(7718,7725) = ( 7718 × 7725) / 1
LCM(7718,7725) = 59621550 / 1
LCM(7718,7725) = 59621550

Properties of LCM 7718 and 7725

(i) The LCM of 7725 and 7718 is associative

LCM of 7718 and 7725 = LCM of 7725 and 7718

Related Least Common Multiples of 7718

Related Least Common Multiples of 7725

Frequently Asked Questions on LCM of 7718 and 7725

1. What is the LCM of 7718 and 7725?

Answer: LCM of 7718 and 7725 is 59621550.

2. What are the Factors of 7718?

Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.

3. What are the Factors of 7725?

Answer: Factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725. There are 12 integers that are factors of 7725. The greatest factor of 7725 is 7725.

4. How to Find the LCM of 7718 and 7725?

Answer:

Least Common Multiple of 7718 and 7725 = 59621550

Step 1: Find the prime factorization of 7718

7718 = 2 x 17 x 227

Step 2: Find the prime factorization of 7725

7725 = 3 x 5 x 5 x 103

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

LCM = 59621550 = 2 x 3 x 5 x 5 x 17 x 103 x 227

Step 4: Therefore, the least common multiple of 7718 and 7725 is 59621550.