Least Common Multiple of 7732 and 7738

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 7738 the smallest integer that is 29915108 that is divisible by both numbers.

Least Common Multiple (LCM) of 7732 and 7738 is 29915108.

LCM(7732,7738) = 29915108

LCM of 7732 and 7738

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

LCM of:
and

Least Common Multiple of 7732 and 7738

LCM of 7732 and 7738 is 29915108

Least common multiple can be found by multiplying the highest exponent prime factors of 7732 and 7738. First we will calculate the prime factors of 7732 and 7738.

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 7738


2 7738
53 3869
73 73
1

Prime factors of 7738 are 2, 53,73. Prime factorization of 7738 in exponential form is:

7738 = 21×531×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7732 and 7738.

LCM(7732,7738) = 22×531×731×19331
LCM(7732,7738) = 29915108

Factors of 7732

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

1, 2, 4, 1933, 3866, 7732

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1, 2, 53, 73, 106, 146, 3869, 7738

Least Common Multiple of 7732 and 7738 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 7738, than apply into the LCM equation.

GCF(7732,7738) = 2
LCM(7732,7738) = ( 7732 × 7738) / 2
LCM(7732,7738) = 59830216 / 2
LCM(7732,7738) = 29915108

Properties of LCM 7732 and 7738

(i) The LCM of 7738 and 7732 is associative

LCM of 7732 and 7738 = LCM of 7738 and 7732

Related Least Common Multiples of 7732

Related Least Common Multiples of 7738

Frequently Asked Questions on LCM of 7732 and 7738

1. What is the LCM of 7732 and 7738?

Answer: LCM of 7732 and 7738 is 29915108.

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 7738?

Answer: Factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738. There are 8 integers that are factors of 7738. The greatest factor of 7738 is 7738.

4. How to Find the LCM of 7732 and 7738?

Answer:

Least Common Multiple of 7732 and 7738 = 29915108

Step 1: Find the prime factorization of 7732

7732 = 2 x 2 x 1933

Step 2: Find the prime factorization of 7738

7738 = 2 x 53 x 73

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

LCM = 29915108 = 2 x 2 x 53 x 73 x 1933

Step 4: Therefore, the least common multiple of 7732 and 7738 is 29915108.