Least Common Multiple of 7725 and 7732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7725 and 7732 the smallest integer that is 59729700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7725 and 7732 is 59729700.

LCM(7725,7732) = 59729700

LCM of 7725 and 7732

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

LCM of:
and

Least Common Multiple of 7725 and 7732

LCM of 7725 and 7732 is 59729700

Least common multiple can be found by multiplying the highest exponent prime factors of 7725 and 7732. First we will calculate the prime factors of 7725 and 7732.

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

Prime Factorization of 7732


2 7732
2 3866
1933 1933
1

Prime factors of 7732 are 2,1933. Prime factorization of 7732 in exponential form is:

7732 = 22×19331

Now multiplying the highest exponent prime factors to calculate the LCM of 7725 and 7732.

LCM(7725,7732) = 22×31×52×1031×19331
LCM(7725,7732) = 59729700

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

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1, 2, 4, 1933, 3866, 7732

Least Common Multiple of 7725 and 7732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7725 and 7732, than apply into the LCM equation.

GCF(7725,7732) = 1
LCM(7725,7732) = ( 7725 × 7732) / 1
LCM(7725,7732) = 59729700 / 1
LCM(7725,7732) = 59729700

Properties of LCM 7725 and 7732

(i) The LCM of 7732 and 7725 is associative

LCM of 7725 and 7732 = LCM of 7732 and 7725

Related Least Common Multiples of 7725

Related Least Common Multiples of 7732

Frequently Asked Questions on LCM of 7725 and 7732

1. What is the LCM of 7725 and 7732?

Answer: LCM of 7725 and 7732 is 59729700.

2. 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.

3. What are the Factors of 7732?

Answer: Factors of 7732 are 1, 2, 4, 1933, 3866, 7732. There are 6 integers that are factors of 7732. The greatest factor of 7732 is 7732.

4. How to Find the LCM of 7725 and 7732?

Answer:

Least Common Multiple of 7725 and 7732 = 59729700

Step 1: Find the prime factorization of 7725

7725 = 3 x 5 x 5 x 103

Step 2: Find the prime factorization of 7732

7732 = 2 x 2 x 1933

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

LCM = 59729700 = 2 x 2 x 3 x 5 x 5 x 103 x 1933

Step 4: Therefore, the least common multiple of 7725 and 7732 is 59729700.