Least Common Multiple of 7720 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 7720 and 7725 the smallest integer that is 11927400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7720 and 7725 is 11927400.

LCM(7720,7725) = 11927400

LCM of 7720 and 7725

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

LCM of:
and

Least Common Multiple of 7720 and 7725

LCM of 7720 and 7725 is 11927400

Least common multiple can be found by multiplying the highest exponent prime factors of 7720 and 7725. First we will calculate the prime factors of 7720 and 7725.

Prime Factorization of 7720


2 7720
2 3860
2 1930
5 965
193 193
1

Prime factors of 7720 are 2, 5,193. Prime factorization of 7720 in exponential form is:

7720 = 23×51×1931

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 7720 and 7725.

LCM(7720,7725) = 23×31×52×1031×1931
LCM(7720,7725) = 11927400

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720

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 7720 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 7720 and 7725, than apply into the LCM equation.

GCF(7720,7725) = 5
LCM(7720,7725) = ( 7720 × 7725) / 5
LCM(7720,7725) = 59637000 / 5
LCM(7720,7725) = 11927400

Properties of LCM 7720 and 7725

(i) The LCM of 7725 and 7720 is associative

LCM of 7720 and 7725 = LCM of 7725 and 7720

Related Least Common Multiples of 7720

Related Least Common Multiples of 7725

Frequently Asked Questions on LCM of 7720 and 7725

1. What is the LCM of 7720 and 7725?

Answer: LCM of 7720 and 7725 is 11927400.

2. What are the Factors of 7720?

Answer: Factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720. There are 16 integers that are factors of 7720. The greatest factor of 7720 is 7720.

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 7720 and 7725?

Answer:

Least Common Multiple of 7720 and 7725 = 11927400

Step 1: Find the prime factorization of 7720

7720 = 2 x 2 x 2 x 5 x 193

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 = 11927400 = 2 x 2 x 2 x 3 x 5 x 5 x 103 x 193

Step 4: Therefore, the least common multiple of 7720 and 7725 is 11927400.