Least Common Multiple of 7732 and 7735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7732 and 7735 the smallest integer that is 59807020 that is divisible by both numbers.

Least Common Multiple (LCM) of 7732 and 7735 is 59807020.

LCM(7732,7735) = 59807020

LCM of 7732 and 7735

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

LCM of:
and

Least Common Multiple of 7732 and 7735

LCM of 7732 and 7735 is 59807020

Least common multiple can be found by multiplying the highest exponent prime factors of 7732 and 7735. First we will calculate the prime factors of 7732 and 7735.

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

Prime Factorization of 7735


5 7735
7 1547
13 221
17 17
1

Prime factors of 7735 are 5, 7, 13,17. Prime factorization of 7735 in exponential form is:

7735 = 51×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7732 and 7735.

LCM(7732,7735) = 22×51×71×131×171×19331
LCM(7732,7735) = 59807020

Factors of 7732

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

1, 2, 4, 1933, 3866, 7732

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735

Least Common Multiple of 7732 and 7735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7732 and 7735, than apply into the LCM equation.

GCF(7732,7735) = 1
LCM(7732,7735) = ( 7732 × 7735) / 1
LCM(7732,7735) = 59807020 / 1
LCM(7732,7735) = 59807020

Properties of LCM 7732 and 7735

(i) The LCM of 7735 and 7732 is associative

LCM of 7732 and 7735 = LCM of 7735 and 7732

Related Least Common Multiples of 7732

Related Least Common Multiples of 7735

Frequently Asked Questions on LCM of 7732 and 7735

1. What is the LCM of 7732 and 7735?

Answer: LCM of 7732 and 7735 is 59807020.

2. 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.

3. What are the Factors of 7735?

Answer: Factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735. There are 16 integers that are factors of 7735. The greatest factor of 7735 is 7735.

4. How to Find the LCM of 7732 and 7735?

Answer:

Least Common Multiple of 7732 and 7735 = 59807020

Step 1: Find the prime factorization of 7732

7732 = 2 x 2 x 1933

Step 2: Find the prime factorization of 7735

7735 = 5 x 7 x 13 x 17

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

LCM = 59807020 = 2 x 2 x 5 x 7 x 13 x 17 x 1933

Step 4: Therefore, the least common multiple of 7732 and 7735 is 59807020.